{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "view-in-github",
    "colab_type": "text"
   },
   "source": [
    "<a href=\"https://colab.research.google.com/github/henrygas/tensorflow_2_learn/blob/master/pca_test.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "id": "-3q-5_xDLJVg",
    "colab_type": "code",
    "colab": {}
   },
   "outputs": [],
   "source": [
    "from sklearn import datasets\n",
    "from sklearn.decomposition import PCA\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "id": "tq-JxdAYLaGM",
    "colab_type": "code",
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 35.0
    },
    "outputId": "4ea70d14-e18d-4d51-9fdd-b91bbb1d689b"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "len(digits_data):1797\n"
     ]
    }
   ],
   "source": [
    "# 载入数据\n",
    "digits_data = datasets.load_digits()\n",
    "n = len(digits_data.images)\n",
    "print(\"len(digits_data):{}\".format(n))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "id": "ykPnglGKLsA7",
    "colab_type": "code",
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 35.0
    },
    "outputId": "5c43d5ff-2dd9-43b1-a26f-fb3cb80a6c6d"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "image_data.shape:(1797, 64)\n"
     ]
    }
   ],
   "source": [
    "# 每张图像被表示为一个8*8数组。将数组扁平化，作为PCA的输入\n",
    "image_data = digits_data.images.reshape((n, -1))\n",
    "print(\"image_data.shape:{}\".format(image_data.shape))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "id": "FUvSFUeRMohN",
    "colab_type": "code",
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 35.0
    },
    "outputId": "a9a5cc85-9110-422e-ec07-5c5b339714f5"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "labels:[0 1 2 ... 8 9 8]\n"
     ]
    }
   ],
   "source": [
    "# 数字的真实值标签在每张图片中\n",
    "labels = digits_data.target\n",
    "print(\"labels:{}\".format(labels))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "id": "4SxLyGwvM1MR",
    "colab_type": "code",
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 71.0
    },
    "outputId": "ae02dd79-998f-4b4f-cb5a-df5b482983a0"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.14890594 0.13618771 0.11794594 0.08409979 0.05782415 0.0491691\n 0.04315987 0.03661373 0.03353248 0.03078806 0.02372341 0.02272697\n 0.01821863]\n"
     ]
    }
   ],
   "source": [
    "# 为这个数据集拟合一个PCA转换器\n",
    "# 自动选择主成分的数目，使主成分能解释至少80%原来的方差\n",
    "pca_transformer = PCA(n_components=0.8)\n",
    "pca_images = pca_transformer.fit_transform(image_data)\n",
    "print(pca_transformer.explained_variance_ratio_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "id": "qm3nbMj6NaHE",
    "colab_type": "code",
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 35.0
    },
    "outputId": "a45b8563-5d47-423f-c908-e561efeb8d7c"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.4030395858767507\n"
     ]
    }
   ],
   "source": [
    "print(pca_transformer.explained_variance_ratio_[:3].sum())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "id": "s5XqscFRNnAq",
    "colab_type": "code",
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 17.0
    },
    "outputId": "a30a2f6a-f57a-4e81-ee94-7a6d12970ef7"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Principal component 3')"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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CUZSvvaVINxbZznShJ/NFiGyVXbhwYUzHr0yRbrz0QiAQoLOzk/Hx8ZiRbax1cumF2Yk+I2VtCxcuRFEU9u/fT0tLC16vF7fbHWUQJAhCVFRcUFCQlEFQJLLpMAbZJ11gyuez2WwUFRVRWlrK2972tqTXEwRBI+pgMEgwGEQQBJ577jl++9vfAnDttdfy9a9/PRXSNQEmQRA+9ZYg3XQaGhJBKBSir6+P/v7+Kb4Ek5GO/0IkJpOl2i48Pj5OXV3dlA62RNdJBS6Xi97eXq1DLJOV/mw9jmcjqo5MYanEWlFRob0e6ZFgt9vp7+/XDIIi3doS8dXNNulme3+xrotMKBckSaKlpYW2tjZuueUWTVmkBkm1tbX09/ensrSeMPF+9k1NuploaJgOqhJgcHCQmpqahBoKMkW6anrB7/fT2dnJxMQE9fX1LFu2LKnPmA7pulwu2traCAaDVFdXEwwGtYJhKBTStJupFpfebA0LM5ndTGcQpBaSYlk5Riop1JtdtkkQ3viJ0JlwGNPpdBw8eBCbzcYVV1zBiRMnpvxOKp/ztOnNNkEQ8t50pBs5Plolk0yQbWSFO7I4pSoBEiWTTD3OB4NB7HY7Bw4coKGhgeXLl6f0GVPJ6brdbtrb2/H5fDQ1NVFWVjZlVLdaXHI6nRx9dpjB4/0EPQqiXqF8mZ5l7yihqLhwVvKZcxWpKgr0ej1FRUVT5IXBYFBTUgwPD+N2u7WbnU6nIxQK4XA4sFgss95dmM2CZ7wioc1my5hGt6SkhPPPP5/du3djs9k0XXBfXx+LFi1Ker3ThbRNwHveNKQb2dBw4sQJ6urqMvZlVqPTUChEV1cXExMTCeVL462VjgTN5/PR0dGBzWZDr9ezdevWtD5jMjcBj8dDe3s7Ho+H5uZmrXtO/cJF3pjU4pKInp79neF96QTkEIwelygoCCK0RBueR+YyCwoKMlbkmwnZMrzJ9H4MBgMlJSVRRKMGHAMDA0xMTNDf34/H40GSpCiDINXofC7qs2dCvJpIuumF0dFR7Zx6vV6eeeYZbr/9di644AL++Mc/smPHDn7xi1/wvve9L+E1BUEQFUWRgYuADwFN8550YzU0BIPBjDU0QJhAjh8/jsvlSiuqhHDUkkqk6/V66ezsxG63a8ewd+/ejI39mQ6qCY/b7aapqYny8vKo/apPErEIUm8QOeuSRdStK6Ok0kzb/lF2PdTFWLufd1y1XPs9SZKizGu6u7vx+Xza3zTVZoS5hGyQuyAIGI1GTZ7W0NCg7dvv92tKiomJiSmytkglRTLBRLZlfbNldjM4OMi1116rccnVV1/Ne97zHlatWsWOHTu488472bBhA5/85CeTWVb9g28FngF+Oz+vXmae0JBuQwOEH6NVx6/KykrWrl2bEZJLJqfr9Xrp6OjA4XDQ2NjIypUrNYLLxMU+Hemq+3Y6nTQ1NbFgwYKkP78gCpx1cY32s9saQFHAlB996el0uimP0GoxaeHChbhcrqhmhMiiXUFBQVpOYtlqJMhmnnXyvgRBIC8vj7y8vCiDIEVRNCWFy+WKaRCknudIg6DJ+5orXrrV1dUpr7tu3Tpee+21KdsbGxvZu3dvqsuqX9JxoAhYN+9IN5GGBoPBkJbg3+l00t7eTiAQoLGxEQjneDKVqkjkhqBGly6Xi8bGRlatWjUluswEYkWoagrDbrfT1NQ0Zd+pou+4lUNPhUdFbby0NqFjE0UxymMXpupfR0dHo4gisniXquRqNpDtCRWJELwgCJpBUKRZjWoQNFnWNnnunSqxmiukO9d8F06nFgAeBXYAF8070pUkSdPPxbuoUo107XY77e3tyLKsOX5B2Ew7E5EzzNzUoOZN1Uf5TBvtTEZkpKsap9tstqioOhPoP2njuZ+3AbDp8sVUNac+rXWy/lVFpJOYzWaLklxFkkRklR/mb053OqQbVU9nEDR57p3X6yUQCPD6669HpYFma+7dfCJd0AzMOwVB+A6wd96RrmrDNx2SJd2JiQk6OjoQRZGmpqYpspN0i1+T1/L7/VO2q6kMj8dDY2NjSo/yqUAURa34aLVaaWxsjGucnioGWu08+9NWADa8q4ZV26oSfm8yKZR4RBEKhaLGAKlVftUvwe/3Y7FYZv3xfzbno8Xa12zkvmPJ2lwuF11dXVRXV2tPHpMNgiJveOke13wj3dNtwHnAWYBr3pFuIjAYDLjd7ml/R1EUxsbG6OzsxGg0snz58in6SBWZmOIbuZbH49F+jjQvj1Wkmk0EAgFNCVFbW5txsgUI+iSe/3mr9vPRnUMc3TlESZWZS29ZOe17M3User0+ZpVf7dvv6+tjYmKCsbGxqMkTmW7RzaYJjSRJWZuwrDp7zWQQNDQ0hMvl0o4tMipOZu5dKBSK2XzjcDjmnJfu6ShXAW4C3gcselOS7nSRrqIojIyM0NnZSX5+PqtXr57RgCZThTk4U0hzuVy0t7fj9/s1rWs2yVYddllbW0tRUVFaBYjpoCgKSkQ2JegL37x8zjfWZCfSL8HtdmM0GqmqqkKW5agW3cHBQc3sPJKICwoKkia1bKcXspVnna4FOBGDoFhz79TzHGvuXSgUwmw2T9nXHI10BcLFtFuAixVF6Zp3pJvIRRuLJBVF0UxoiouLOeuss2L+4WIhXkogFfj9foaHhzU1QqRBSipI5oscDAbp6upiZGSE+vp6mpubURSFgYGBtI5hOhjNej5296aU35/tNuDpWnTVCr8qaVMfnyfni+MR0BupXphNJOu7MJNBkHqeVYMgIMqtzev1xiTXYDA4xevkjUZEIW0PUC0IgnXekW4i0Ov1mnpBlmUGBgbo7u6mvLw8yvErmfVmSlfMBFUR4fV6sVgsbNqUOhGpUItgM13wkV66kx3H1KaSdDEbjQxzqQ04lqQNmDZiU/PLaopiPhXSkkGmzG4iC6ST596pTx+qL4XT6dQ8KdxuN11dXeh0upTPcW9vL9dccw1DQ0OIosinPvUpbrvtNiYmJvjQhz5EV1cX9fX1PPTQQ6mmMDzAd4En5h3pJnJCVclYd3c3fX19VFRUcPbZZ6ec40onvaDOQJMkiaamJoxGI62trTO/MQGonXLxLnh1JM/Q0FCUcXkkZoMEJiYmeOKJJxgaGsJgMLBt2zbWr1+f8f1kCumQodFopKysLOakYpfLFaV9DYVCiKKoRcdqimI2/gbzkXTjIfLpA8J1kObmZkwmEx6Ph+PHj7Nr1y4GBwdpaWnBbDZz88038/GPfzzhfej1er773e+yceNGnE4nLS0tXHzxxTz44INceOGF3HHHHdx9993cfffd3HPPPUkd/2kT88PAbqBs3pEuTB9VqY5fVquVsrKyaR2/EkUqJjWq/ExRlKgZaD6fL2NFuXiNDaFQSDPiiUe2s4VQKMQf/vAHPB6PZpD+7LPPUlBQQHNzc9LrzTUT80QQT9I2PDyM1WrFZDJpciu/3z/FuKagoGDaCr+iKBw6dIhdu3bh8XjIy8vjsssu07rPIPukm62iHZxRL6hqlc2bN7N27VqOHDnCnj17cLvdUcXqRFBdXa3VNQoLC1m5ciX9/f08+uij7Ny5EwjbOp5//vlJk+7pQtoPBUFYBhjnJenGghrZqrO/8vPzaWpqysjayUS6drudtrawHjXWwMlMuYzBVNKNHKOezcm+qgJDEAR8Ph8ejwez2cyNN97IsWPHePrpp9m7d2/SpJvN9EI29qV2hVVVRUvmVOMal8vF8PCw9mSkStrUqFgtKu3du5eXXnoJCF+bPp+P7u7uN5R03+jmiEiHscioOBV0dXXx2muvcc455zA8PKyRcXV1NSMjI0mvJwiCGbgOuBqomPekGzkhYfHixbztbW9DFMWMFocSIV2bzUZ7ezuCINDc3BzXYi6TpKuuJUkSvb299PX1UVtbmzWy9Xg8tLW14fP5tKGO7e3tQJjIDhw4gNPpRBRFxsfHNTKeKx1i2UY8co9nXBPplaCeP0VReOWVVwBoaWmhubmZoqKiKZHmXFEvzAZincdMKRdcLhdXXnkl3//+91MeGqsiQi62jDDpXq4oysi8JF1BEDQDGKvVSl1dHc3NzbN2Z5+OKK1WK+3t7eh0uoSm+2ZyeJ4gCPT39zM+Ps6iRYvYsmVLVsxgfD4f7e3tUZ4MoVAIWZZZtWoVL730khZ99fb2as5XaiFRp9NNeZyOlwJ6M5mYJ9McEc8rYXBwUHu6OXDgAAcOHMBoNLJ+/XoWLlyonc9gMPimjXRjweFwpO2lGwwGufLKK/noRz/KBz7wAQAqKysZHBykurqawcHBKEVLEigDrIqijEDYzXzeob29naGhIRoaGuIK+gVByNgjVizStVqttLW1odfrWbZsWdp3xWSgjgUaGRmhsrIyIfP0TEBtplA712J5MlgsFrZv387jjz9OT0+Ptt1oNLJ27Vog/HioPk5Hmp6bTCbtUTrdacnJIFvEnonmCDUHHAqFWLhwIZIkMTExQXd3N+vWrdM6wlwuF6+++uoUI/lkmhASRTZJN97fymazpUW6iqLwyU9+kpUrV/KFL3xB2/7e976XX/ziF9xxxx1J2zoqZw62FxgQBOF24Ll5SbqLFy+mvr5+2qhBvTAzkeCP3M/ExATt7e0YDAZWrFgRt4ttNiDLMv39/fT09FBVVcWiRYtYuHDhrBOuqu8dHR2lvr5+RmvL6upqbr75ZhwOB7t376a9vV1LP0D4bzO5eynycVrVaLpcLvx+P8ePH48i49ko2swX7wU1PSMIAh/5yEfw+/3cf//9jI6OUlRUpJ1Tu93Opk2bCAaD2jmNlLRNtnO0WCwpH1s2STdeIJVueuHll1/mV7/6FWvXrtWUNnfddRd33HEHV199NQ888ABLlizh4YcfTnptRVHaBEH4L+BLwJXzknRNJtOMedFMkq460HLv3r2YTCZWrlyZ1UgsUmtcUVGhKTJaW1tndahkpORsyZIlbNmyJW6k1ukL8i/tQxz2+PnUC48gEq0yOeecc6bdV6zHaTVnvHjx4imjaiJlV6mMAorEfIp0S0pKkCRJk6V5vV4URYn52VVv3ViStkg7x+Hh4bgOYolI2rJJuvFagNOdGnHuuefGvQ6effbZlNeNwCDwHcA7L0k3Ga1uOlAUhfHxcTo6OggGg2zcuDFjZJtI1KOOcu/q6oqpNc7kJN/I40m2MOeTZT7yeh+jQQm9AIdrmljX34GoKFRWVnLBBReklAtTI7pYc8PUpgR1KKZaZDKbzVFkPJesHTNR3DKZTCxbtozXX3+d+++/X9uezGy8eHaOkx3Eent7tVlsk1MUkU9X2SbdWPtyOBwpSRJnE2ohTRCE9cANhI3MC+cl6SaCdBoaVDOcjo4OzGYzq1ev5tChQ1gslowc20ydZGrLcldXF+Xl5XEbOzI9WVgtzPX09FBdXZ1wYe6Iy8doUKJcL/Liunr+vGQBd3avZX2+iYdXzuybmwpiRXBq55LL5cJutzMwMIDP59OsHSM7xCI/VzatHTNRY7j44ovR6/UcPXoUgNWrV/POd75zyr6SRbzBmGqKwu12RxnJqzl4v9+Px+MhPz9/1ot3szWqZ5YgAhJwK+FCWgvM00JaIkiFdCPJ1mKxsGbNGk3vpzqNZbIwN5l0FUVhaGiIzs5OysrKaGlpmbaXPFORriAIDAwM0NPTE5W+SBReWUYA8kURgyhQrtdjEgQ6fOmb2iRr7ahqNCsrK7XtkTrYydMnCgoKNMJQyTcUctDV9Z9MWP+BIJioqfk01VXXZHS4aTowGo1s376d7du3p71WIjAYDDGN5NUc/ODgID09PVpDwmSXtngTJ1JBMBiclVE9swT14u0ATkB4Ztq8JN1ETW8STS8oisLo6CgdHR0UFBSwdu3aKVGtSuLpdrfB1AhVURSGh4fp6OigtLR0RrJVkezon8lQ9+twOCgsLEy5VXpNfh56AXoCIa47NcBuhxcJCEnp5Uoz9UWNp4NVW3UnJiYYHBykt7cXURQRxB8jSQdO/56fvr7/wWisYEH5pWkdRzb9dLMxi03NwRuNRlavXg1ET5yY/LSRqExwOkwX6aYrGZtF5AO3C4KwFHhtXpJuIkgkpxtp81hYWMi6deviphAybWSuFkNGRkbo6C4pij8AACAASURBVOiguLiYjRs3JmXGo9PpUspbqxF9e3u7ZuLyjO8ZvvjEFxnxjpBvyOeKxiu49axb0SdwXy4z6LmnoZIvdAzzssOrbbfosqMTTQWRrbo2m40FCxZQWlqK3z/OocPhOVlFhffhdO1BUX5OZ8d92KxLp3SHJYNs+elman5eKog0ko982ognE1SHaCZaEJ3OwHyueelyJtL1AO3A25ivI9gTjXTVuVmToUZ4nZ2dFBUVJWTzmEkjc1EUGR0d5ciRIxQXF6fkfKauk+wxTUxM0NraisVi0W4yuw7s4penfgmAXtDjDrr59clfoxN1fOaszyS07oYCM7vWLmEwJPGjASvP2j28vSgx68x4mA3nsliIfOwPBvsBBaNxEStWbMHvr+fQ4Z8jiKOUlpZqKgr1UTqWx26863M2cseKohB4dRz/i0Mo7hDk6ch77+KsNUYk+pniyQRVk/PIgqgqaYs8r6pULp4iaS6S7ukimqgoyn9Gbp+XpJsIYqUXIsk2WbLLhJG5GmGOjY0RCARYv359wp6+sZBMTtdms2nNHKtXr45SYZhEE59Y9gnOebKT8r/t4vkGP/e9W8fTh//IratuQpjhMbDd6+edh7umbP909dz6EiSCYMgGgE4XPj96fSEgIsteysrKovxfI2eyRVb743nszkZ6wf/KCP6dg+Ef9AL4JEIdToQFAseef5pXH/sTXocdU34+F9xwK0vWZtbtLZ0GpEhf3ViStsgRS6qkTZZlCgsLtQhZvcn5/f60vkuzBUVRZEEQLgAuAPIA+U1LugaDQSPJyAJVaWlpSpFlOukFVXrW3t6OxWKhoqKCioqKtC+SRNQLTqeT1tZWFEWJ2zmn1+m5puEaRj/xDhRgbIERWZDIH3Five8+yj4TjnYDXV2MfvlO/EePIljMlH3uc5iuuooPHe2esuYXa8pYaZlbhtLTQSVDgz6c95UkFwChkBOQEcWpzQPxZrJFRm+RDQmSJGn/zUSBSZEVfC8P8veSf/K7mieZkG0U6gv58tJ/w/XcCfp2v0D5KiuNLeMYLCEG3TdRZPtvSkrOTXmfkzEbcrFISdvkfZ04cQKj0ahpto8ePcpPfvITPB4PP/3pT1m3bt2UoGImXH/99fztb3+joqJCU4Rk0EcX4EfAw8ApwDAvSTeZQtrAwABdXV2UlpYmnTOdvF6yj/KKojAxMUFbWxtms1lTQ6guUuliukjX7XbT2tpKMBhk6dKl01Z21XVqH32U3XIbD+29HRD48E4Zb/Fe+AzIfj+D138SaXwc9HoUj5fxu75NX1Uto4YyyvU6dq6p5VGrmzu7x3jG5ubGNCPdbKYXVJjylgACgcAAgcAIdsduAPLylgBgD0l8rXuUv1vdmASB2xaVckNVSdQ1GW9EzbFjx8jLy8PhcCQsZ5sO8rCXh4r+wYMVj4IMJtmAM+Rk7+BeSvYfpWL9OIvOGQVAEEyg82F37M4o6cbTzc4GdDodoihSWVmpker69eu58MIL+cAHPoDP5+OBBx5gw4YN3HzzzQmve91113HrrbdyzTXXaNvuvvvutH10AQRB0AEDiqJ8Td02L0kXpv9CyrLM2NgY4+PjWCyWhNUA0yGVCcNtbW2YTKYo6RlkTl8ba5y71+ulra0Nj8dDc3NzQuOAVNI9YBrgCy/cDsC1T0us6VEw3xDuJAscO440Po5YVkbdU//A+de/MvYf32TsyacQLt+BPhjg0IED2PRmjFho8/hxOByz0us/G4iMdEtK3oHN9gIHD12ivV5VdS0At3eO8Kw9nM/1Kwrf6Z+gyqjn8vLp28EFQUAURcrLy6N0sJEFpsjBjZMnT8Rq0w26/fxuwRMA3GD7IButyykImTGdyuM1g5WFG48A0L+rgqC9mgs+8QVKqxrIJLLpZgaxSb68vByz2cxnPpNY/WEytm3bRldXV9S2TPjoRuBPgiD8APg78OYa16N2cKmjecxmMytWrMjI2onOSVONcAwGA6tWrYr5mJPJpgZ1Hb/fT3t7O3a7naamJhYuXJhUh9KrY69y+4Ew4e7YKfHu/eEbmqE57Eks+7wgCIj5+QgGA2JpKRiN1O3bhe7yHQwLOn5cUstupy8sF1Ogr6+PhwYeYo97D3bJjlk0s33Rdm5ZewuWvMR6/bMd6QI0Nnxzik63vOxdWEMSz58m3JfW1fGi3cO/dY/y0yHbjKSr7mdy/jNegUmVs7ndbm3yhCAIUZX+3lA7fjEAwE9L/gglUBYs5p6ez1FbXkfIEP5cNVtHgBHaOj/F+vI/oNdnzpxprnjpZtpwKhM+uqdRAKwBtgEXAqZ5S7qRkW6kN8HChQvZtGmTlvfJFGZKL6iFKp1ON6MRTqYGXYqiSCgU4uTJk4yPj9PY2MjKlSuTzhP6FT9ffe2r2s9/u7CQx7aFqO33cdf3/ofCSy/FtHIl6PWEenvp+eQNBF99FWSZ0vEx/nvpIj7XOsDLTp+2Rr5OpH5ZPU+9/hQQVkV4ZS+P9D2Cx+XhsoLLpvgnTO5oeqNMzPX6Ipqb7wGiI5suXxAFqDXqqTTqeXtxOOfY5U9cD57IZ4o3eSJyOObY2BhHR05ilA0ExCANvhqCeTJ9hkH+a9EvuLxToSYkIOoV8oxN2IZ7ySv109HxZVav/k1Cx5sIsplegNg63TnajaaiEdiiKMpadcO8JV2Idt1Kdw7aTIiXXlAnRQiCkLDFYyYiXdWMxmq1Ul1dnVTv/RQIIClnjscleUAEe76A3euj7pUTWESBez7zOdZ8778I7d+PuifRYqGl0My+jY10u338eMimycXydHncsPIGLqi5gIaiBh7vfpy7DtzF8eBxvr7561P8E9Thn6rpitlsnlVDn2RhDYXPUcFp/XGhTkQHeGUlilDj5X3TlYxNHo4pL5DRPfcAoiLx/a5/xSV6+PjSf6c9rwfBs4LwHFqRfPHf2P/YPaz+WCtuz+soiowgZEZSlu30QjwD80w3RmTIRxcgCLwuCMJqwMl8NbwBGBoaorW1dca21UxpIyerFxwOhzZgcrpJEfHWSpV0JUmiu7ubwcFBampqKCwspKamJqW1VBQaC/nzsh/ju+4TAAgmE8rpSPyRbeegF8AjK9xVUsO///p3bBdlrP/7Ezw7d2LeupUtr7YjAzrCjeYQlouJgsj1K6/X9jPoHkRGptgYPlfx/BMiZVhut5u9e/dqvrDpNCdMh0SukVJ9mFxcUvhG4JRkJMAiClHvj8z76mQnnr7vsq/vZcDA2NhN1NZen5FrsqaghqAYQlZknDo3Dp0bBQW9omdT4UcY0B0AZF74yd3ozRLhO6XIqVOtFBYWZsRfN9uRbiyk6zAWC+n46ELU1AiAGuAHhAdTzl/JWH5+/oweAYmOKE8EanrB6XTS1taGLMtJk62KVEhXlmXN+UudEiEIAoODg0nvfzIEQYCyMszvOBfv7j0ofj9ycTG/P+c8/vLeq3hQsXFiYQ0XfPrz6BSFfp0OTh9/yf+5gU+aSvjZwAQSsMZi4s7F5VPkYi8PvswDrz8AwE1rbop7LJEyrAULFuB2u9m4cWOU167anKBKiwoLC8nPz6ewsDCl1tJE88b1eQYEoC8QYjgQ4uXTxFpvOrPPyXnfE6duw+J9+fSrQQaHfoDZsijlluLJzRDn1m5gZ+E+Prb037XfeYdjI0VKGX2OZsTSVtZ8vE17rbT0EhaUV8T01428qSUqZ5sLBubpNkZ8+MMfZufOnYyNjVFbW8s3vvGNtH10IwjXCtwNuIFFzFfJGEBRUdGMxKW2AmfiovD5fFitVk6ePElzc3Nad9ZkSDcyX11VVTVlSkQmCk2iKKLo9Sz64Q+BcPTy8Ml2fmqTqDGInHv2FrxWF3+58DKueO4JdJKEcdUqFvzrlzAtX86dwL8vWUggEIgZfe4e2s2Xdn0JgM+u/SwtC1uSPkZVRB+pxlCtCJ1OJ2NjY3R1dcWcQJGIQXeike4FxRaetXs49/AZbfINVWeuhci8b5nowuLdBcAXxZ/yPeVlZOXnDA39ImXSndwM8ZmBD2Os1PNUSXg/l1Zs54bXt4MIm9/5c3p6/5uxsUcAWFD+Xurq7kCns0yRs6nNCE6nk8HBwSl+Ceq/yflU1W0sG4gXQDkcjrQKab/73e9ibk/XR/d0tNsvCIIEbACGgeF5S7qJanXT7SJzuVy0tbURCAQwGo1s2rQprfUgMdKNbOhYsGBBRkbJx4P6RBDpo7u6ZjF6h5e+kMLHj/fyit2NdOXHuO/Kj9HxtpXae4XxNvSP3Yo4+Cp5Bgv+bV8muP5a7fX9I/v5wivh8Sc3rrqRHUt3JHVs091UYlkRTp5AMTo6qo2DV6PhyQSSzI3rnoaKKfna95SdUahE5n39vh5AYYQKhpRSFGUVAD5fT6yl437+kdGHGei/n2BoHFHIp7r8Rhasfxf6xkIK83R86ekKPn/i4+E3nAj/J1hvQq8voLHh6zQ2fH3afUQ2I0TmLiPlbJFTivPy8jQy9nq9WesEm853YcmSJVk5hkQR4aW7GbgFaCac3100b0k3EaRDum63m7a2Nvx+P01NTZSVlbFr166MHNd0pKs6nrW3t1NSUpIRjfFMEAQBq9WqjQFSfXT/q8DO51oHeNHu1n43ysQm5EO6/0KMghdJEdAFPeQ9+2WGRtyUX/Jp3EG3FuEC/Kb1N/ym9Tc0FDVw/3n3MxNSyXvGG+ioVv6dTucUAvF6vUxMTGiqgen2W6zX8f2mKr4f5/XIvK/aUuzFjFkUQDKjthSrRH9y1yiHn+nH5wxhNOt4x4cbqVl5JnIeHPwZff0/OP3ZTMgGN57yY/ieXQfPglCgx3J1I4JJT/DQBADBJhOBremPkUpkrJLNZtOuHbUAOltjleKRrs1mY926dRndVwageuleDxxVFEWLROYt6Wba3lGFOiLG6/XS3NxMWVlZxqVLsUhXbRVua2ujoKAgYV+Gnx31c+vzz+MOSFiMOq5YX80d25fx0i/uo3XPKwR9XgymPFa84wLO/ci16PRnouVIlzOz2TxF/dFSaObVs5fS7w9yb+8YT1tdbCs50+QhDB4kDy/ukIGf925jZeEgFy44TkXvn5H4NLIiI8kRqohguLXW6rOmfO5SxeTKP5zRwx4/fhyv1xs1rTiVLjFFUag/7uCJF1wsCCjIpkIsq9ZgXjhMvcmA4nET2VJ85LkBXnuiP3x8BpGAV2Kg1aGRrqJIDAz+BIDFtZ8n37GOwBNWRL8JsSIPJAV53I/vyT4KPrEM3hOO9np6ejAaZ+erPfmm5vP5WLRoEfn5+VoBdHx8nO7uboLBYMzBmKkWQOOR7hz10lUhEo5wOW1+M38LaYkg0n9hJng8Htrb23G73Von12zpRCeTrtVqpbW1lby8vGntJWPhxf7wOhaDDk9A4jd7+ygw6TG+EM5H6U15BP0+jjzzBEazma1XfRQgiuAbGhpiujedF0OVcGvtmeiRYNjFLSDrWLv9fSwrtaPs/xZm7yAuwqqIf17xz6g1vd52Ojq+yt59YeOVsrJLaaj/Cjpd7M88m80RamRrMpmora3Vzrv6WK3mN1XT85mKTf5XRhB3DrIA8Ipg9guYJ9ZQsfAIn1oQgu5jIIRbimVZ4fAz4dxsy7trWbS8GKNZh954Jmfp8ZxElsPa596+/wFAv6mExftvp/QTW1F8Es57jyENeaJUOpmagp0IVGP/eFMn4o1VijQ6T3SsUjylxFzU6SqKpsF8BPiQIAj/AhwXBGHDm5p0E0kvqBGOy+WiqamJBQsWzLooXxRFFEXRNL6iKLJy5cqUJgt/+9w8tm/bQr5Jz8MH+rnzryfY3THB/ff8gPzSUox5Zo7tfIbnf/Zj+o4fwW6309rail6v19qTh4eHCQQCU9b+5KIyTZWwNj+PrzVUsir/jHeFUrUOGZFSo4+6V79KZX74cRo59tOFoii8fvJmgsERBEGPooSYmHgCnZhHQ8PXpvz+G9ccEfuxOlaxSZ0fVmDJJ/+lMQB851Zwu9tBe6GO68Qe1gELe65AFTf/pK+bs21/Qg6GJyQf+HsfB/7eh7nIwCU3LsdkCX8tgyEbgmBCUfyYzctQ5AA+uhhc/RPKvReheENhx1Zd9HnKNulOV6hOZKxSf3+/Nlp+8hNG5NrzzEtXjWwfFwTBDXwcuAg4NW9JN9HhlPE8dX0+H+3t7TgcDpqamli9enVCFe5MXNAul0tLY6QqO1NRXaDjvn92sq/bxmu9dgC2NpZRWr2IXQ//hv4TxxhqOwmAobyC1tZWli5dGrXPeD4Wd9ZXcmd95ZTtGizl7OF83sZz1BfYtM0BJfZlJUkOgsFRQKBl48vYHXtobf0sTterKXzy7CJesUmdH+bptoV7n4G8l0a4FxhF5nbd+/Gu8nJO9asEZHjCbmCfGwb7H+c9uptAEiitNiNJCo4RHy/9vpN3fzZccDPoSxEEHYoisnrVrwhJTg6+dgm+oi4c9x5BIHwdGlZGG+5kaqxUIog3yWE6JDJWaWBgYMoTht/vx2g0TrlJOhyOOUm6p20dLwWeVhTlBXX7vCXdRBAr0vX5fHR0dGC322lsbGTVqlUJR1TpjnVXidbn82E0GmlpSV46NRmiKPL8qTFaR84Uu5ZWhqvpXa/tZ7zvTKV88fKVtMRQX0znVtbl6OJru7/GsYljmPVmPnvWZ7lq6VXa6y03343fVIBi7UF66j/IH3qFbncpVTHW0umKMBoqCASHOX7iGq2KX1gQ/zxk28Q8WajzwwomdHj0DggptCGhB+rR8Z28hbz/+FX8LngSBIXvr/g+KwOneOjwXwkRxCAYuewzqwh4Jf74rYNM9LtRZAVBFDCZalGUICATCtkJhewgKAgYUMNmw7oyzNujm2Oy2SWWSZ1uvLFK6rh4u92uyQPVVvoXX3yRQCCAz+fLyKTuJ598kttuuw1Jkrjhhhu44447Ulonojni20CrIAjtgIH53ByRrGTM7/fT0dGB1WpN2aMgVdL1+Xy0tbXhcrm0fHGmlBCiKPLAR9dg9ys8fWKEe5/v4DtPtbJ9RTlrrvo4I/19iPZxjv3jbxz+259puXiqPjQe6folPzc+dyPjvvGwd0LIyz0H7qHCUsF5NeehyDKm+7YgIKMIOoTTaaxXXcu5NAaRCYJAnrmeQHAYj+ektr2wcMOUfT/5oxOMdIULbyce2gfA+dc2s2TN3ItoAESLHkQBRVC4UXHTVJjH/7p0lHtAZxxHQaFcV0ZzVTP6CT2OvJ8hyCKKAocPHsOks6AooNMJWhpCry+ktPQiJiaeiHI8K1uwnZIvTz1nKrKZXpjtuW+RTxhOp5OioiIWLFiAJEn09/djMpmw2Wx88IMfxGazcc011/CFL3whpX1JksQtt9zC008/TW1tLWeffTbvfe97WbVqVdJrRTRHGBVFUbtTAjDPI92Z/FYNBgM+n08zhGloaGDFihUpXyTJdpKpRG+z2WhsbJySwki3RVmWFY6MSSxbKVBZks+I048AeH0BnvnjH1i15e2sWb+B3qOHOPaPvyHFyW+rOebJODFxgnHfOGWmMh5/3+M81vEY/7n/P3nw+IOcV3MezvExjoxX01LWj4jEkLeA54cbEde+nX379mkqAFUbK4rDOBx7AB3Llt2L19NBb9936en9LgsWXB61b68rnBcW9aDT6xAE0Btnh0gy0SoulppAUhAUKESg0qADBQS9gKgPP4XkCXmUlZVhKjQROhKgo/wgS8c2ceQhHxAumBUuhn379mlVf4vl/yAVi9jtfwfONDhMh2ySLmQv9x6Z09XpdCxZsoTbbruNP/3pT+zcuVOLilPF3r17aW5uprGxEYAdO3bw6KOPpkS6EdglCMKXgKcBF9A8r0l3OgQCAXp6epiYmKCqqio9Q5jTSFT3GwwG6ezsZGxsjPr6+phErxJdOsfUb/Nyz24X9+x+BZNexB8KR6vvrJJof+IvtD/xF3QGI1IwXCRr3rw15jpqrnoyfCEfAgIWgwW9qKc0rxSTzkSXowuPx0NrVxdH9efxUusgshTCXFTMmne9i7Mufa/mgKZWrvv7+3G5DhIO4wqw2xZhMuUDIpLknrJvFaXLFM65aBllNfmIYna+3JGwe4N868k2njw+ikkvcsu2Oq7bUjs1is/TYVhRTPCYjUcohIkwmZ8ynODjJ3aRf7SOgEGhp+EgpqZqZEVm79K/8q6Gd9G+L1yAa9pUzub316E3ilFV/1DwIwi8//RYmnwGBsYpKPDHnaibbdLNFmIV0iIVDWpUnCr6+/tZvHix9nNtbS179uxJeb3T+DZwL7CS8FTgpW860g0Gg3R1dTEyMsLixYspKChg0aJFGVl7ppE9qvPX0NAQdXV1bNmyJe7Fr66VaKrim3u/ydM9T+MJeTDrzVzecDmfXvNZNlQaOTIawB+SKTSJXN1Sw63b6njWto/eY4eRggHyCgpZdf5FnPOBD8VcO156YUXZCvSinj5XH7c8fwv7R/YjKRJBKcjhw4dZunQpLXeH2wTUIYOTVQCROTpJquO1gz9Elu0Mj3wQVYimyCs4dOhQVFQcCoSPZ/y4wOPHT1C0wMQlN63AUjw7LnLxbn53PnaSna3hpgN/SOZ7z3VSWWjksjVTC4zmSxcTAIRjNhQUjhsPcvT4U+QDIVHGGBRpO7wHT2E4B1tdXMnbL2zg7VdPNRafqe05cqLu5LbnbBbSsolYpJtuC3AkYj3tpRuonU4tXCYIwnogqCjKsXlNupHphUiyraurY+vWrQiCQF9fX8b2F89TV5Ikenp6tDvl1q1bZ7zop0tV/GvbAH8bd+KWZCyiwAcrSni8428ISJj1ZrwhLw+1PoQQEPjUihbK376QlStXRhH45f/y5YQ/VzzSLTGV8NXNX+Uru7/CnuEzd3yzzsw555yT9AWp01lYsfx+urq+iccbzumWlryTuro7kWWLJscaHh4GUwBTsYChKIR/1IhjzM+uP3Zy4SeXJ7XPRBAvRWXzBPlnW5hwn/3sObzcPsFX/97Kz3f3xSRdwaSj5P31fCZwlBdOjXFj63MYgJfKtpK/6SStwcOE9L8i8Gr4XH902UeTOs5E257tdjuHDx+OanmO5ZuQLmZjuvF0iGdgnimNbm1tLb29vdrPqrlUOlALaoqiHFR/ntekC9HRZaKElyompxdkWaavr4/e3l6qq6vZunVrwpXc6Uj3DyNh6ZdFFPDICr8csvKxjb/myw01WAwWfnPkN/zPsf9h38g+3tX4LmpqatJquZwuN76mbA0Pbn6QI91HeCHwAvut+9m6aGvKX7aCgjWsWfOHmK9Ftu6uXRv+2+7bt49iQyn7HxpnsN3Bvn37tHZTlVTSbTeNRx7dVi+KAjXFeVQUmtjaGC7i9Vh9U343Et+6fDn/9YdhDF3ha+XciV3wFKzJW8xjm/sQTAZuWHUDF9VelNZxQ+y25/3793PWWWdpHWKT257Vc5efnz9j2/N0yPbUiFj7y6SX7tlnn01rayudnZ3U1NTw+9//nt/+9rcprRVBtooQPsEC4fpaHEHlPEF/fz8dHR2zTrYq1JSAoijawMuZ/HynWyse6T6/oZFKowH3N7/JH2xe/vuqazhw4CSv/Pgr/OztMqdCHQCc33A+RqMxbaPvWJGu2iL8gec/gIKCTtBpRufXr7o+1jIZgyIr9L9ux1tr4hv6Ugo6vLxHAYw6WlrWx2w3VR+xVSJOh0xU2DzhYl6+KfxFLzTpEQXwBqRpo7xis4EbNy3gqT3hfHpZ7RKkUAj70AA39m7jii9/K63jmgmKosw4BkidyRar7bmgoCAhMs026cLUx/1Mkq5er+eHP/wh27dvR5Ikrr/+elavXp3SWhHqBfX/tZ/nNemWlZVRUVEx4x8+k0bmY2NjDAwMUF5entakilhDJVU0mk18p3uEnU1ncawp/Di98fhhGp97nY1egVPnhz9vU3ETumD8dRLFZNK1Wq2cOnWK/Px8rm66moc7HkZSJFaWruRfNv4Ly0qXpbW/meC2BXju52GD+A8JoFPCV+wL9QZqHF4uLAkTQ1VVWA0c+Yitpicmk4ka2cW6VuJdHyWW8I3U7Q/fbJz+ELICFqNuxuvJXFgUPq+iyPu//E28Tie/u/0zjHV3ocgywiwHCLGOL94YoMiC5+DgIC6XK8pjV72RTW7VzTbpxnoay3QL8GWXXcZll12W1hovvPAC559//sNAG+FpETbCvrrjzOfJERA2Mp9JTaCmBNKxRVQUhbGxMW0GWjqj3FXodDqc99yD7Z8vorjdCGYzhe97L+Vf/CKCwcAzVhcnm87kL5etXwt/fYgrbM2UrNnOfUfv4/8e/L/8cO0P0x79o5Kuy+Xi1KlTAKxevZqCggLWsIYvnf2lGVbILEwFesxLLDj7POhlyCvQE9xQzItVMo5BKxdGmO5AfGexyeoJt9ut9f1Hkkk81JWaEQTot/sYcfrZ1RE26llSOvPfvmhhJVIohCLL+N0uvE4HKAqiXgdZzIMmgskFT4hue47XqiuKYtYKdtMZmM8134XTxc/XCQe1jUAx4QGVFqBhXpNuIkiXdFVjGIvFwtKlSxkfH0+bcOF0quKJJwEQzGYUrxfH7/+AWFBA0c03c5c5RLvHzsmOfh5oXMUP8krZBpS+/TzWlK9BQCAgB6btJksUavvlsWPHWLZs2ay1VEqjPryPdSMNhrWUhtUlmC9bjGCMjpYMRh1V1zTw5dZBKhSJl85exjNWN8aOYTp8ibvGxSKTyHFAExMTdHd343A4OHr0qFakUtMTJRYD25rL2Nk6wYX3nikkfmJLbcz9Kd4Qnif7CB23gV6grv4sOtsP8Jsv3qL9zvG8Bh7c3RdTdjaXMFPbs1q0czqd7Nu3b0pUbDQaM/r54kXVNpst7XFVmcaaNWtQFOUr8V5/05OuOj0iWaNlm81Ga2srBoNBM4ZxOp3pjGKOgk6nQ/+T/2XRmjWIFguOP/+ZKcORYgAAIABJREFUsW/8BxP/fJFrNm6jTTDipZgv7H4IoWElwdOWjN8a+yX/fOFBAC5afFFa89ZCoRCdnZ2Mjo6i0+nYvHnzrBGBoii4f9eO4gyCKICsEDxmA4OI5d1TDahXW0zoBRhGx3WnBtjt8IZHu0vptQVHjgNSsX//fpYtWxZVeFLTE9ettKAE83mhy63pdC9dHXtIoeexHkKtjvAPIYUN8jvQrTLSdnwXCnCiYDn/LHsHT00jO5vrUNueS0tLsVgs2Gw2Ghoa8Hq9OJ1OrFYrvb29BAKBGac9J4N4Hg8OhyPlvOts4XQbtkA4wr0QWEG4+yUE+Oc16c7G9AiHw0FbW7hrb/Io9UxMolAhiiJyVRXWnz6Ab/8+/IcOAzC0eQtHhDN54u995P8AUDfeBcCHnw1w6Kxy3t/0fm5acxMjQyNJewZHzltbvHgxW7ZsYffu3XHPZ9uIizv+cpwjA2FCec/aSv7j8pXkmxK/fBSfhHK6y6zoS2sJdTrxPNSJ1BO7MaLMoOPb9RV8sXOElx1nuoyiTNQzBEEQMJlMWCyWmOmJO0pd3LLReTo9McTx444pUZ3sCRFqC5+fws+uJtjugL/3srHgEj7fuB5ZgR9eXMR5xsppZWfzCWr0GWlgE4l4054njwBKpC4ynZdupicBZwKnVQvXEW6KuBw4QjjFsHxek24iSJQo1bE8wWCQpUuXxswTzdQckexx+f1+HM8+i9LVpW1fsWYV5xSZedXpJaickY0tU4wgCCzUFfPsB87MblKNPxKBOgKoo6ODysrKKfPW4r3nE798jRGnH4MoEJQV/nZkGLNBx7fel3h7pJCnQygwoDiDuB5sRZ4IH7NuSfyc6oaCPH4sT1C5ei0/GrBqo91VPHr31xluOxn1nktu+RfqNyQ3UileIS3R9EQgEKDYa6JKAaVAh08XxNQQ/lyK1Y+iQHWRkTKzjuV1icnOUkU2DIJUpGrrqDqJxTI7jzfteTpbx7mW0434G7yb8OSIEPBzRVH2C4Lww3lNuonaO04XCarm5R6Ph6VLl0ZdIJMRrzkiFXg8Hvr6+lh4xx0sKSok9NLLWP/f/8P9ve/x0NNP8aM9h7j0U+EJHz6DkbzTrbz5l1wStY4oigkd0/j4OK2trRQVFbFp06aERwDZvSFGXX4EAQ78+/m80jHBTb89xP5u28xvjoAgCIjlJiRnEHn4TOT61YO9vHyihyvXV3PbBfUYIiLZi4/0IItl6E70R412V+F1hPXMhrw8BEEEQUCf4RExkxErPaEoCt4T4wToQ9YrtLe343N6WYoB4fQ92qwPj2lPVHaWKuaSl24siKIYs8EjMiqOnPasRsXxjHXmopduxHGGgCLCadxzBUE4Bqyb16SbCOJFupEWj83NzQmZl8czhkkGdrudY8dvRw7tIf9UAPuKPEbyrqBqzTYQBJTTZuJ/F0yUrllPy4mj5AUDhIqKKL/ySspu+fSUY5qukOZ0Ojl16hQ6nY61a9dOeQScCcVmPZWFJoYcfj700/10T4THi59dHx1dyLKM1WolPz8/ZhFFGvUhdblAAN2V9fzijyf5GCa+ggX88NSeMe5XFG69uEl7z3WVxTw4ZEMShLij3QHWXvxulqzbwIK6hpQIJ13yEwQBY7GZIGBQ9KxduwrZEcD5/HEkvYASAqcvyNjQIAcfeZhbuk4REnTs/ssgG9/9fkwmU8IeDzMh26SbiWGpanonVttzZFTs8Xiw2WyYTCYMBgN79uzRnMfSxcMPP8zXv/51Tpw4wd69e6MG0H7729/mgQceQKfTce+997J9+/Zp14o4/w8SlordB3wJ2A6MvSVIN/LxOxAI0NHRwcTERMoWj6lATV9IkoQs/xPdBJT/yAhIKIaHGQ7+ETgTyf56QzOj/3sf/5hw8t3eMaqMevZsWjpl3Xh6X6/XS2trK36/n2XLlqWc9xIEgcYF+Qw5/JwYcmrbW5aEo4vIlEVhYSE+n0+bnKzmPAsLCzF4JRBAsOjJayrkSoPp9OSoMC7ByHMHbXDxmW3/tngBFw52sPnszTGPLRQI/11ffexPvPrYnyiurOI9X/oK+SXxn1ZmC2KpCQRQ7AFkZ5Bgh1PbLo7BqEdmYPeLeLrC+mO9InHk8UdwB0MUNSzlR4dDvDp82oZ0Bo+H6TDXI91kEDnXTg12Fi1ahN/vZ3BwkFOnTtHT08NFF11EXl4eH/vYx/j0pz89w6qxsWbNGv785z9z4403Rm0/fvw4v//97zl27BgDAwNcdNFFWhAzExRF+QPA6ckR3yVs87hrXpNuMumFSG+G+vp6li9fnhWyVb103W63lr7weh/HYxcYX/9V9EePIgQl5AIdpVddQ8mnb2an1cWWYgvL8/MYDoYQgIAcO8KenF4IBoPaTSXRCH46tI24eKVjAp0A9310Pe2jbu7+Ryt3/+MU59XlcerUKQoLC2lpaUFRFO1i9Pv9OJ1OXC4XIyMj+JxemnQGdO4Q7nuOEKklObLYxJpeH6uk5MiiuKKKvIJCFiypp/vwa9iHh3jxlz/lXZ/916Q/Z9rWjhY9+uYiQq0OnPce07Zb3lbBtuMhdr8+gKOnDRH42eJr+MLyALZnfo/95FFa3nMVB5/ZDcCDVyzilU4b/3vQw4+eO0WTwTZjc0ck3kykGwnV2EfVZDc0NHDXXXfx0ksvceDAAS0KThUrV66Muf3RRx9lx44dmEwmGhoaaG5uZu/evWzdGtuxLxKCIKwDrgLMgAd4XRCE4/OadGFmT11BEJiYmGB8fDxj7cKJPI4GAgE6OzsZHx+nubmZhQsXau8xm+vp7fsOYzfZkeVwfrO29lOU191Gjy/AtSfCpht5ooDvNNm+uzz2I5SaXlBNdwYGBqivr8+IlSWAzRtCFKDUYuRtjWXUlJj5zlOtOH1h+8rVq1eTn5+PLMv4/f+fvfOOs6I+1/h3Tt2zvbONhWUrS4cFiV0TS6JiSZQEY01MbnIxJhjUhGgkiTW5ud5EjBqjRI2xK8YGGkVBpKh0tlfYxvbT68z94+xvmLP1bEWJz+fDB3Y5Z2bOnJln3t/7Pu/zetT8uU6nIyEhgcTERPV8e6ZacT1djSRLKChISMjI5B8OWkjqs8yDFkwGwkW33KH++2htNRvuuYOWyvIh3jGxiLwoO0Snaz49DeOsBH6XG8M9XQ1IDQpWQww/PHc2Xy+w8M93n8Xa2kJDt1v1eFhUnEdmlptH9+yk3S2RlpaGzWajqakJu90e0twhyFhb/T+RSXew1JjI/Y40dRYOGhsbWbp0qfpzVlYWjY2N4b79PqAO2EKwMeJ7wFe+8KQ7GIQsqr6+Hr1ez9KlS8flAhEkN9i2tAY8Q5GfzboVWa5Sf46KDKYOUk0GzoqPYmuPE7eskGDQ8+0p8ayamtJvG+J4HA4H27dvJyMjY9w+J8BLv11Dc2UZQtr/8HX/x+up5yNH5VAyNYYFCxYgy7KaMzcajSiKgizLKIqi/luNxFPN+CLaMTlT8EW0YXKnokOHaDUxpsrs3buXQCBAZGQkMTEx+Hw+Htr3EBuPbKTN3UaUIYplOcv4r5k/pOngATKKijGaI+hsbABFwRBmgXAiIFkMRF06HS4N/X2cxchVs6P5aBdMT0vgW1+ZitftQtLp8HncdDl6i6R9PR58MrGxsSGpITHUUWhiGxoaQrwnRLppMhzAJpt0+z6MRzq14mtf+xotLS39fn/XXXdx8cUXD/ie0do9SpIUAyQpiqId1fLYCRnpyrJMY2MjDQ0NpKWlUVJSwsGDB8ft4hCFub7b0zqOZWZmDhtRFxX9lQMHtpGe0UJDw5+prfsDKSkXEKHTsb64f7NAX4jW5IqKCvx+P1/5ylfG7DTWN0py9qoD9KYI3AGFgAJ+nYGvFaWwpPJl1l1zf8g2zr9xNfd0/5W9HXtDfn/fV+7j1LRT8Xq7kALBS87kDjYYHEWmJrGKpZ0FxB+QmbYqmKYQvrGugIunq54OHgd6HH4H/6z8Jx67k9i/7QFAp9cj9xJ70WlnjfocTCSMlqC5ts/dO7be6USRZYzmCBKigt9bOB4PA2liRfVfzA+z2+0hkztGkp4YCY436dpsthFN0H733XdHvN8x2D0aAaskSTcAuwEXkAfs/8KTroCiKDQ3N1NXV0dycrLq/KWNxMYDgnSF5Erst7a2Niztq6LIdHd/RExMCYqSTkx0KiAhy/1HoA+Gnp4eKioqMJvNzJ49m4qKijHbGw6cpgn+nDJnPjMWLmH2SV/hZqORQCDAM7c9CvTKtXQ6JCQMZjOdnqD/bKQhEp0U/L3FaMFgMKDXJ9MV1Yks+TC5U1CAFCSau6YTQEF2+dX0hNlsDtoQ1kfz/Znf58yMM8kwZ7ChcgN/qvwTW9o+4oq0ApxHW5ADAczRMRSd8TXmX9AnzPycICopBSQJW3sbju5OjhwKNsPETkkbk8cDhFb/dTodBoOBvLw8/H4/DocjJD0hy7K6ihgoPTESTCbpDtSR1t3dPeEa3WXLlrFixQpWrVpFU1MTlZWVLFkycGG3D3QEzW7+myDppgBzgE0nBOm2trZSU1NDfHw8ixYtCtGgjofMSwvRdqs1wYmPj+/nOKZ/86foS19D8tpRjFEE5n6bwFfX4vG1cvCQqJAaOXgoSDLJyYPLUI7euRbHpk0oDgeK2YznlFMo+NUa4pKSetUQY/NegP5pk87OTpy24GDIlk+30/Lpdg6+9gIXrb6d6MQkMTuReeddyLS5C0mePgO3u5YVXfWkJ7gBJ8aYU5hb+HtMhmA0IkkSPWe/Q2trGblb/kg0OhQU5inB83bAIHN674MyEAjQ1NSETtJxVd5V6vttOhsKCqkxU7jyd39Q9Z2iaPfZZ5+pWlqtibeWHB5r6eL5NhsNHh8KcB86Fo/5DA4NU2QkKXlFtFWWhngxzDvvwhF7PAwF7WplIHvHwdITWrWJaE4Ybhl9vCPd8WyMeOWVV7jxxhtpa2vjggsuYP78+WzcuJFZs2ZxxRVXUFxcjMFgYN26deF+5h7ght5/JwPm3j9JX3jSFY0NCxYsGBcjmuFgMBjo6uqirKwMi8XC/PnzB/R1MOwNmh8rxkgknwPDp38DUzSm039OQvzpdPd8jKL4MBjimTLlW0zLXjnoPu2vvAKAbDaj83iIeO89AjNy4MYbw26OGA6CdB0Oh+o0lpiZhd/tIjk7h/q9n9LT2syHTz7GZakf4+8EMPPJhhf5ZMOLxCfGkPedGtINbvwKGCTw2T7iiY++zmVLXiHFkoLDUYW/2oUlwUP0ci/yv3TonCYUFExFCZxx4TR0ej3d3d1UVVWRmJjIokWL1DzlR80f8Xj54wB8v/D7+Hw+JEkiLi5OvfnE+RBE3NTUFOIuFhMTw/NdAWp9wQeVWZJwKROvYlEUhdnLLqfhw3eo3vUxeqOJkou/Re6Sk4Gg8Xlfne5gHg9DYbhC2nDpCWFk43Q6h/XZPd5Fu/H00r300ku59NKBV0lr1qxhzZrwJrHs3btX2AjEA98lWEjr4pi9Y+kXnnRzc3PHJdILB2I2ldFoZM6cOUPaAnp/8DFKzBQwRaPb8zSGt1ahq9uC7sw1zJr1MADbtm1j6UknD7oNUZRr+/UdZM+fT3pODrZXXqF97W9w7dgJN0KN28uviKF6WymROolfTE/l6rTR6VQrKipwOByq01heXhRV1WtwON4mOzWCildzaKksRYpuI8EUjcUQINXipsYai83Rjc8XHLD4V9tslsbFMV/+iCk6K/d+ei//c+r/4O/sIWv3z4I700noZAUFhY7cf1FwxVocDgeVew6g0+mYO3duyMNs19Fd3LrjVgBumnsTSzOXqisOUbAD1N9FRUWp+T7xQBF54htNbux+F7+XI3Ei4fX6aG9vH9AzdrwgyzLmqCi++sOf8NUf/qTf/8dZjPz+0pn8/tKBpUsj2c9IiVCbnujrPSHSE1qfXfHw8vv9qiZ7ojFQYfDz2AIsDIEIku5ZgANIAExAJvDKF550w7E2HKhINBI4nU6qqqrweDwkJSWRmJg4JOECKEm56Dffha5hG7rGXQAEpp8e1v60xcDMzEyWXHIJXQ+uo+mTT/DsDRapLCedhFuWWX6gnjYMGCRwygq317SSbjJyTmJ4BYZAIEB9fT3d3d3k5eWR+If/oXvPHjpRqFxpJjLfgcGgx9VpBhQkfTAdsnzafnwn30wg92vMdEby8t2343caMUb5uDnNj9v9GbIENR49e+zBgldUciGtCW9g7p6GTjbiN/XQlb0J/9xOysvL1e7AgwcP8sQTT2C32zGZTEzJm8L/Of8PJPjR7B+xonAFENL5o14Dsiyr1XtBwOJmjYiIwGKxcMGUKeh0Ov60pw6XP4BOJ4V4xhqNxhCbx3CW2sNhsuaJjedQyuHSE4FAgEOHDvVrhhmvczYcPo9mN8XFxRQXF6MoSiWwTPxekiQ9weKa/IUn3XAgGiTC9RsQ8Hg8VFdXY7VaycvLIykpicOHD4ddmNNVbULXVqr+rKQMHcWIETnV1dUkJyeHFOWcH36Ar/KYxKz7ySfZ8v4W2m7+NfFuF7tOncNLXQ5uq2nhoSMdw5KutgCYkZFBcnIySUlJdHV0AOBKjaZ6Sxps0T7YFJKLXSheF9W2RLK3/i8R2/4Hq3c2KIl4bZEYo3pwOsvU/dR49ETog2kfgyWauOtmUV1zJ05nUE8bEXEybtu3mDYthoKCAnw+Hx9//HHw/OmCo8gbDjVQHFfMwcSDPFX+FE+VP8WM2Bn89ey/HjvXvUTTl3AEAWv/ht6IuLdQqNcbyMk51kKsnUJx9OjRkCkUgoxHalM4WaQry/K4D6DUQpueaGhoYP78+SHeCWI1GE56IlwMOji0uztkAsbnASK4kyTpfEBSFOUtAEVRApIkzQSsX3jSHYm9Y7ikK7rX2tra+rUK920rHnI7K15GchxFV/4mhi33YXj/TryzjuWNtBG4dkTOQJMpMv76VwLtHTjee4+uhx4CrxdPdAySohBls2J/9BGSrrwWsyRR5Rr6+Do7O6moqCAuLo7FixdjNBo5ePAgVVVVxPU+UJIvvILoxndxHDUgy2Cw+Eme00nxOWfQ86HEq0eCl45OUpAVCXO8m6i0HgIK/LXdTLoRLo73cHG8h7r4S9R9R0fPZt7cF2lvb6e6upqY6CTmzJ6uEoXRaOSUU06hsLCQ5ORkdu3ZxXub3iPLkcXBxIPYfcHinlBJDAdBjH1zkeJGVlAwGoNGRiI3rtfriY+PJyEhQX2/3+9Xc559bQq1UfFghDdSTWm4KN/Wyo5XGtAbJb79m4WTlmfVfp7BvBOGS0+Eq54YrGAngqHPEzQPiIuBcuAtSZKiFEVxAP8FVH3hSTcchGvvqO3qys7OZunSpf0u4LBMwxUZqWYzyrSTUSJnIttaUJDAHyoL0+v1WK1WamqCgybFiJzQTcm4Pv6YiJISTPkJ+NuOgiShi4vja397GMPOchpT0/iB28lnZUeGNPoW43gkSWLOnDlERkaqkrq8vDzsdjvW3geK6/EnKL7Rh/fi0G3FxS1Cf+UvSG+9m9aaKmS/n0i9l7kZR3Ej4cVArddMp9/LRXFQ1OTmwkN/R/fmWlBk6kuX4Nob1D1OO+drpP761+g0RCVJEqeccor6s9fhRUIiPyWf31z+m6HPe5iQJImmpib8Pj9IOgoLizCZTINGxALaRgXtiKO+E3e144AEqWhbpMcL9k4PO15pAEAOgCwrYyLdvgSuNwy+naEahATCUU8Iw/Oh0hODTX75PDqMaaAHvAC9hAvBrrQT3/AGhrd3lGWZpqYm6uvrh+3qCovAuxswPf9tABRDBJI/6J3qn6mmeHC73TidTkpLSykqKhr04vE3NdHy46DESDKbUXpJUZ+ejut73+MWUxR3XX8ju7JnqO/pa/Qt0iQ2m42CggLi4+ND9MuSJKkFAE/OdOSkJJSSDLwz34EAJL47E8eyEjyep6iqupupzqMsWn4l0QmpJNa/ScQ7t+CLSWabPgpLwM79WQqKEtx2dpuE3l4dPM8BCeVwNRgiwe/H8867dEVHk3T7wJNNqqur+eijjwA4/fTw8uHDobu7m7Xl9WzCglvSYZDgu2VHSDUaeH9+Tr+IGBiyYCcINi0tTZUnCr9drSRLRHh6vZ6YmBgiIiLGFPkqisKHTwfPq6T5ukdLugMR+FCUOlq52FDqib7pCSH9M5lM6kpEu8/PYyFNc3yvAsslSTIBB4FpBG0eK77wpDuW6RGKoqgaX21DxVAIy8g8Jo1A7tfQ1X2A5HejWBIJzLuSwOm3hozIiYiIYPbs2UMW5fQpKVhOOxXX9h0oHg+6+HhiLr0Ux5YP8ZSWUpycyiurf4Dnjl/zt+xC3umyc3rv4MZAIEBdXR0tLS3k5uZSVFTUr8DU9/yl/TWYJ7VaP4ND76JzKES830L2Ld9iz95/IOm8FHx6O3wKsmRAp/hRgNaUc4iPPxe7/S94PMHcc2LCV/FdcAlHO+ykv/8zjLIdJInsLR/i2rGDtp/+jO4PP+CNVY04ujoxWSzMPP1rnPSt71Df0MBLL70EwFlnncW0adOCbb5b78ew/1l09hYUUwz+eVfiO/2XoB/6e3O73VRWVuL3+7EkpuLqDAYfPgV8ikKXv//qZaA8sbZg17fNWfwtGjtSUlJUIq6uDhKkw+GgpaUFt9uNwWAIWWb3Ne4eCpU72mg/7CA+zULP0WP+xKMh3cEIfCiMp0Z3KGtHIWHzeDzs3r0bWZaJiIjgxRdfpK2tbVwan1avXs2//vUvTCYTubm5PPHEEyqZj9TWUUBRlDclSUoEzido6SgDaxRF2SMN0zgweTb0o4R4Sg4F4b+QlXVMbK419Z4xY0bYGl+73U51dTXz5s0b0XFqR+RkZ2eTmZnJwYMHmTZt2qj8QANdXQTaOyg86kWWJHRyAFkXvAnenDud+J5O6urqyMzMJDs7G0mShiRb6E1lbN1KxOLFKCaFT3acjqzzQABE2BMXcxIL9raja96NFPCiRKbgW/Q9umddi83hxGq1YrPZ8Pl86PV6XC4XiYmJLN68AsnRTt27yQRS5uBvaEBxuWhIjOHA1NSQVt7pZ57H/tZgQe+000475ujkdRD5QDCHp+iMSHKwucG/ZCW+MwfWUcqyTH19Pa2treTm5k5Y4WWwgh0Er9HDhw8THR2tEjEEawciT2yz2VTjbm3r7kDFJ2ePlxd/F1SxXLRqFq8/cBCQ+PZvF1BTW0VaWtqIqvoV24+y/aV6DYEHt2U0DU6qNpuNI0eODOrONZ5ob2+np6eH3NxcFEWhp6eHF198kSeeeILk5GTa29u54IILuOeee0a1/U2bNnH22WdjMBi49dagLPG+++7j0KFDfOc732Hnzp0jtnWEYP9QL/FCsFkimv+UQprRaFSLX6KF1mQyMXfuXCIjI0e0v5HOSdP6zaalpYUoEkYzVLJvjvfqtt08GTAi6/XMiYrgZ4kRWPfvQZ+QoBbJtNHYYIQLEGhpoe2nPxMflMTMAN0rwD81+KvEhK8yY8av8czqnwqJBqJj40hPT8dut1NeXo5eryc9PR23240/4MfYu19f+TEnsLjTT2f5935AYmYWZVs38/76R9nf0qaGXDt37mTnzp0kJydz5Yrv4D1lNYHCC1CSC9Hvfx7T2z9DX/FGP9IVHYPV1dWkpaWxZMmSCS0wDVawE3WCjo4OUlNTQwp2gNrYId4voju73a4Wn7SNHdHR0RzcGGwT1ht1bH5SKFoU3vpzKdPOAH1m+BGos8fL9pfqAThtxYxeAh8eA/mPTBS03WiSJBEfH8/3v/99nnrqKTZt2oRer8fpdI56++dqprEsXbqUF18MeluP0dbxYo65Q8u9f4zAbV940oXh7R1FF5lYnhQWFo7abX4kc9KGG5EzGtLtm+O9xuPhGsC47CKOXnIJ+g49BfPmYbFY+uVth52MkZCAecF8PAcOgs9HhC2ZAtt3iF18DVIYN5jX66W6uhq73d7PON0g6UBRQCdh+t1vcVVUoH/yKaLf2UzdhZfQ4XTRXF/b+z0eO07xsHQ4HCDp8J+ySv0/yXoYFBnFEvoQcDgclJeXYzKZWLBgwYilguOF7u5uKioqVE8OUXzr68RWvu0on7x2BL1B4rLbZ6tRbnp6er/Gjo6ODjrbg76xAZ+Mrd0TNIcHultcZHjMI3q47H47aFM4EIGfc0MhltiB0zbhFNLGC4NNAhbHIKwdxwOPP/44y5cvB8Zs63g/8BegmiDZmgjGJq4TgnSHgsvl4vDhw1itVubNmzfkDLRwEM6cNO2InKGi6dGQbr8cb1wc3YtLcJ5zDjNnzBiwSBZuwUZnsZD2t7+N6HjgWOqkqamJnJwcioqK+u9TCS63dTExpJ57Lv6ZM2l6+h/ovV5mzZpF2Y5tlL37FhIwPy+HjPIqoj7ahu5oK8gK6S88H3qs1e9i+ugPAMGcLsGIqKamhu7ubrVgOFLs3r2bd955B4PBwE9+8pNRaV7dbjcVFRV4ve+gsJ6jbWamTdsGmPpFxLZON5+8dgQIFq90km7Agl1ERASRkZFMmTKFnP8Ct92Hx+PG2mNny9+aUIAZX1dwyT00NDQQHx+v5omH+v4D/t799BK4eGl3iwuv2z8o6U6270Lf9N9I/VTCsXW86667MBgMXHnllYPuYwTFzwOKojww0H+cEKQ7UKQrxvJ0dXWRkZGBwWAYM+GKfQ2GkY7IGQ3p6sxm0h98UC2SNbW2YjAYKC4oICYmZti87XhCURTa2tqoqakhNTWVJUuW9LsRDR/cg3H34+ANFq6mLqrF/5scGl4P+gpELFlCa0Up2574CwAnf/sa5p13AY3f/Bb+5ubgfoxG9u/YgdzRQUxMDFPsB8l8L+hV4T3rTgLZJ9Pcqz7Jzs4mPz9/VJ+9p6eHd955BzjW2TYSiIdPc3Mz06ZFU1e/vvc8BXrVHKF6VEVR2PwLtQsaAAAgAElEQVRkcHxPMJsiYTSaMPb66mq760J8iQFztI6ImChiE6PQG1oAha+cvoi9+/aQkJCAy+Wivb09pElBpCe0Fo8nX5HDoguCtY6AT2HDH/YDEpfeOpuYpMHrHMcrvSAg7vdwv+fhbB3//ve/8/rrr/Pvf/9b3eZobR17V2eZkiQ9CrwHdBL0XehUFKX6hCBdLbQm4jk5ORQWFuJ2u+no7bSaCPh8Pqqrq+nq6hrRiJxR5XQVhcbGRurr68nMzGTp0qWUlpbicDjU6vdkiONFNB8RETHkEl7yWpG8wYYGdCDpFPSm4Ge2nHUWnisu440/3g3Akm9+m3nnXQBA8to7UQIB2n62Ctlup1ZJ4fEdAQ53NaEo8WwyZSDNOIs6/1y8H35IdHQ0hYWFxMfHj4pwFUXhtddeCx7zKN7f2dlJZWUlKSkplJSUUFp6de//DE5MFduP0t7gICHdQrdmQrKATqdj7969IZG3UEOo6QlJ5oq1cwEIyH5kWSY+Pj6kYOf3+9ViXWNjI3Z78PsQjR2CkHWSDp1eByhExg3dsDCZ6YWBSNdut4/IS3covP3229x333188MEHIavS0do69t7TnwK5wJUE3cXiCBbTzj1hSFerDsjKygoxER9p8Stc9B2RM9K5a3q9fkj9cF+0t7dTWVlJQkICS5YswWAwIMsyqampHD58mNraWlWGJAb6RUVFjWvE6/V6qaqqwul0UlBQMGxu3HfOPfjO6V9VnvYr8LpcrP/pDerv9rz1Gnveeo3EzKlc+svfBn/Zqzn+oLKdOkkPSJjxYcXC3COvMu3Iq/gS8mj42l9pbm6msjIYOUZHRxMbG6s2KAxHEPv27aO5uZnk5OQRPaA9Hg8VFRUEAgHVpKe19UXsjv1EWvJxumoGfJ+j28u2F2oBOP3KfF77475+rxko8tYWYQVkWVZTGkL/27dgJ64JcU8IRzmhi62pqQl+hu9YiImJoau7k5iYmEEfpn6/f0B3vYnAYLaO4zEFGGDlypV4PB7OOSdY91q6dCkPP/zwqG0dIyMjURTlv/v+XpKC65kTgnSPHj1KeXl5P3WAwHiTrqIoHDlyJKxmiqGg1+txu93Dvk5ElQaDgXkDFMnELDI4JkMSnW5ieakl4pHoQQVkWaahoUFdQYzHFGVFkVECx5bw3t4KtKunp99r/+u06Vw/bSor//EpNixIgMEfTFnofFamTp2qvravtaNoP9V2icXExKiabJvNxsaNGwG46KKLWL9+/bDHLiaFNDU1hUjRPN5WamrXApCXfy/79l0x4Pt3vx1ctuqNOt5fX6H+/o0/HeDcH87EEmMMK/IW12JTU5O6yhLHN9ToJKGIEAUoEUGLbrHu7m6OHDmCx+PBbDaHtDpbLJbPhZfueJnd9FoxDoiR2DqWlpby9ttvc+2115KYmPgYUEMwuu0A7EA9J8rkiIiIiH4m4lqMV6QnZEiikjzUPsPBcOkFMUlYRJVxcXHDFsmMRiOJiYkh+WtBxDabjdraWhwORwgRD2XgIkx4xGSMxYsXj9vNZo6M4oePPRPWa/NSorDFmQmYYlB84FzxL5zZ/aVriqKwZ2MTVbvacPZ4MUboKVg6hZKvZ+Jyu1QTG23LbllZ0KDHYDDw6quvqtt6+umnueKKK/o1rwifjOTk5H7n4/DhBwHQ6SKoqPiZOCr2H/guxTMfxWQKkqLfd6yAZW139xawFLqaXfjcASprS4eNvK1WK2VlZUEddJ/jGEzCJv4erN3ZZDKRkpIS0tghvHZtNhutra24XC68Xi9OpxOfz6fmiScqrTVQ/ngypkaMFOJ76D2XXmAqMA+IIWjr+DHwXycE6cbHx09I+kAL7YicuLg4cnJyxuwjOhjp+v1+dVy8iKKG6yQbCgMRsTBwsVqt1NXV4XA40Ol0KgnHxsYSCASorq7GYrGMSXq1c+dO9u3bR1dXUF96/fXXk5SUxD/K/8GG2g0csR9BVmT+ed4/yYnN6b8BRaGiohJFUTAajEh+/6A3uN8rs+/doKxHp5fwuQMc3NyMTidRcmE2MTExajFEtOwK0vX7/eoxAuq8MUG6Ho+HyspKfD6f6l3RF7Ls6f3bjdvdAOhQFHC5KgkEbASHCMCpy3MpuTA4Cy/gl3nlvr2AxLd+OQ9MviEjb7/fT3V1NdGlz3FmxV9QDBG4flLGUPljGNqJTRsR9+2w0+v1/SY7Hzx4kLi4OHw+Hw0NDWpjR18DoPF4QA9mYP55I90pU6YwZcoUdu3aBfCsoigfDvS6E4J0w8Vo7PWcTqc6/FHoe/fs2TMuJN+XdLVFsqysLJYuXdqvk2w8vVITEhJCPB8EEXd2dlJbW4vX68VisRAZGUl7e7uaIx7pMezfv5/Ozk71Mwvt7b/q/kW9LSjMN+lMOHwO9T1dDz6I7dnnkJ1O0OuJ/cMfMKSkwBmrh/5cRh3zz88iZ24i8WmRVO46ykfP1lC3r0MlOQFBEpdeeikul0s9B3/rlc2de+65NDU1UVsb1A/7fD4yMjLIzc0dtIMxN/c3TMsOaoll2cOevRcjSRLz571ORMSxFIjBpCPaFHyIyQG5t4AFkXEmNr3zfvA1A0TeZ599Ns3NzcxINJBTEVR8IPuDhgmjxEDF1yEtMXt/jouLC7keAoHAkK5igohHE6x8EQzMxcOhPNj88w3gP5t0BcGFq7sUBSOr1Up+fn5IT3g4Wt2RHBMcK5IlJiaGFMnC6SQbL0iSRHd3N21tbRQUFBBjiefZOz8DpYdgauoYTvpeLLFxwRxxdHT0kET8jW98A1mWefnll0NsMW9ffDsBOcDqj1Zj89nU3yuKgr31KIrTGWyTCAQgECAwQK6332fQSSw491i7t73Ti6KAOWpwbwaj0ajmd7VR1ezZs9XuOtE55nA4KCsrw+12YzKZQlYGFosFvS4CvTkNAFn2odMZAQWTacqg+9fpdVx937GquHigi8hbSCLb29tpbW1l0cKFxDwftAhVpInJqw6WnhBKHb/fH2JEIxAVFUV0dDSZmZnqe4QBUEdHB3V1daruVitjG6kB0OeRdMXx9xbHz5UkyUVwKGUPwQkSVYqidJ8QpDsS05vhSFcrOevrpdt3W2OFiPo++eQTjEYj8+fPJyIiYtTNDaOFyNvW1NSQnp6utsx6HH4iIg34ewX0sl9BlhUsMUbSM9Kx2Ww0NDRgt9tVRyhRrNMScXp6uvpZtJiVOAsAncZlxWq1Bn2FV3yH3Nt/pUZFD/y7mn/sasTp8KHXSVz31B5Sos1svHEpg+HwoS72bAw2HpR8Y+qgr9NCr9ezatUqvF4v5eXleDweZs+ePWDHk8fjUVM0ra2tOJ1OdeqEIOMli3eO+Ps7//zzOeOMM4DgDfz448G5cFdccQXTp09Hv/dp9M27kZNnIrVXIMsKz9z+CcvvOnVIO8axoqOjg6qqKqZNm0ZxcbHqBz1cwU6sllJTU9U8sdvtDil2iokd2mKnSN8MdP6sVivTp0+fsM86Ggjt8Jw5cwD2AIuAEoLB7QxgLfDMCUG64UDYOw62LNSOyOkrOeuL0ehr+0JIfKxWK4sXLyY2NnbSyRaCEUNlZSVRUVEsWrQoZOlnjjLwnd+WqD//63/3037YwcxTp/RLTQQCAZWAGhoaSCh9moyWd4l0t4Ci0L789WGPpba2FjduCgsL+2kwbR4/Dm/wnPtlBb+s0O0aXG53pKyLdx8Lejwsvjib9PzwKt1CDXDkyBE1nz7Y9zDQXDGfz6ea/mgnKAgiCSdFIyJv0UbcO4mArKwsJFsz5o3BFEvX6X8k4aULAAk5oCAHFPQTcEd7PB6xZGbhwoX9pm3DyAt2os6QlJSkbkNr79je3o7L5UKSJDweD42NjWrBV6/Xf+4iXeGXLJpjgD8pirIHQApeQAaC/gsnRnphrPaOopqdkpIyoOQs3G2FA621Y05ODk6nk+jo6EntJINjygiv10tRUdGwM99sHW46Gh1IOshf0n9KrZi2IG6EiB3b0bmCBS1ZZ6LtcDUL3R8xX95L4tP/iwS0X/EvzFlzCcjBzx4bG8ui/EUDfv7bv1HI7d8oDOuzNVV0886jvSTxjanMPmP4LiIIPoDKy8vVFM9oikBGo5GkpKR+ExRE9b++vr7fyqBv0cnn81FZWYnb7WbevHkhBiuGrfcBoBgsGF/+vvr7yxJvRXK8Aub0ER/zYFAUhaamJhoaGsjLywvboW00o5PE6/saAIl0jqh3OBwOVq9erWqWTSYT8+fPHzUB33777WzYsAGdTkdqairr168nIyMDRVG46aabePPNN4mMjGT9+vUsXLhw0O1IksQbb7zB888/Lx5Kv5Ak6XXgOUVRvIAaIXzhrR0hPHvHiooKEhISQi4c7YicvLy8sO0dDx8+jKIoZGdnD//iXmgj6alTp6o2kx9++CE5OTlh5UbHA2IQpVBGhNs998nrDex/r4m0vFi+/uPiYV+va94Nsh/zy9eCx4pnxQZs/7iGFCU4MVjWmfis+Be8caAbhf6f+eerforOMPKCi88d4J+//pRAryTLFBEksvg0Cxf8ZPaA7xH5e7c7GGWPl3nKUBArA7E6EF1iOp0Op9NJVlYW2dnZ/fydTf/6MYbSV9SfZXSggE6SsV39Afq0gnE5PmGwL+6NiZq7piVg7Rgl7XEIC0lxb7jdbq655hrOOOMMmpqakCSJBx4Y0OZgWFitVrXJ4k9/+hOHDh3i4Ycf5s033+TPf/4zb775Jjt27OCmm25ix44dQ25r2bJlnHrqqVx44YXMmjXrm8BPgJ8oirJPkiS9oigB+A+KdLXTI8TYGhh4RM5w0Fbgh4MogFRWVqrDJvV6vXqRzZkzh56enpDcqMiLjmdHmbCYFB67I7E6lGWFiu1HkSQoPj2Nx7c18NLuZhq6XCiKwob/WkJuSihRyekL2PP2a5QdzKPLY0JZcy/RM87EFGHg28oGzLKHT5yfYiYTLyZkgt1moGDEz/Ydu4iLjw/JEYcTecqKgiIfu3G97mAU5bIPvMppbGzk8OHDzJgxg9TU1ElZZUD/lYHD4aC0tBSj0UhqaipOp1N1xRMyrNjYWGK+dh/+Bbfw+gMH0Eterkz9CbICT7c/zEUJucOIxoaH8B8+evSo2lY9kRhqhp2QaWZkZPSbYdfV1cX1118/Zn9kbVebw+FQv/8NGzZw9dVXI0kSS5cupbu7m+bmZrU+MRBcLhe33HILAIqivCxJ0vVAW+/Paj7yhCDdcGAwGHC5XBw4cACHw0FBQcGo5ysZDAZ1MOFQsFqtlJeXYzabWbBgwYBFMu2NB6H6WW0jg5aIRzreuru7m8rKSmJiYvrlbcNBU3kPXpcfg1nP1JnxvPpoJbUdwe4xs0GH3TNwqqVsy2a6PL35P0niqJyArEQj91o3GpJieDawiUvqxeDKoK2jDyMer5esrCysViuNjY3YbEF1w3DtvWaLgWt+f9Kwn0mkEhJ6fYcncoLuUBDGRR0dHRQWFvbrshLVf6vVSltbG9VWK4c/DmCXkzEY/ARkA6Bgl5PUbrbI2NHpx0WzhWj6mAwPj8FQW1tLV1eXOllFpCLcbjd//OMfOXz48LhZdq5Zs4Ynn3ySuLg43n8/KNdrbGwM6XIUto5Dke7OnTv56le/SkFBAQ8//PCvgVMIjuzZB7iBHYqiBE4Y0h3KU9fv99PW1kZPTw/FxcXMmjVrTBHNcDldMRrG7Xar/gThFskG0s9qW3urq6txOBwYjcYQIrZYLP22KY7D6XTy4YcfDnh+kltOQ+olwWt+fxI6ff/jOrSlGUWB/MUp6PQ6frdsJgFZYeVz+7G5Bz8PZ33vxxifv5LXqjJwK2bmz59PwYISIl97Gsnt5buF3+Xy/N+wPWYXiQfaeFOpQZEUJElHZWUlZ511Vr+hhmJJ3tTUFELEWsXAUBGxSCW4XC6Ki4tHvMoZTwi/5fT0dEpKSgYkOZH71R6no6ySnroO/H4Dj7Q+22s/HOxmq66oJW1aouqbEM51LppgrFYrs2bNmpT0ymDo6emhrKyMKVOmUFJSoh6/Tqdjz5493HTTTSxbtoza2tphR2sJDGfreNddd3HXXXdxzz338OCDD7J27dpR2Tr+/e9/p6KiQnQQTiM4J20ZcBWQDhQA9hOGdAeC1gQnMTFR9SMdK4bqJBNFMm0f/FiLZAN1lInWTK1cSehGo6Oj6enpoauri/z8fKKioti5c6dK+j6vH1DQKSZ0eglFhsgY46DzsdoPO9AZJIpOCZ67uZnBJZlumI8yZUYe5ignEgooCkVFRWT1yYMbs6I5LessNh+4HYVo4nQeeuSIAc1URKGlLxHb7XasVms/nwXxQIqJiUGn06mphJycHKZMmTJpqYS+ECY5siyrMsGRYOBuNh0XrCpENnjo6enh8OHDqm+CVkvcVw8riD8rK2vUlpjjgUAgQE1NDT09Pf0keh6Ph/vvv5/Nmzfzt7/9jblz545o28PZOgqsWLGCCy64gLVr147K1vGSSy5R/33fffddP9jrThjS1Ua6A43IsdvtI3F9HxJ9I11hfnL48GGmTp06oZ1kAiaTqV+V3OPxUFdXp44jAmhoaCA2Npbly5cTGxuL2WzmqaeeoqWlhVNOP4n27VG0H3ZQdOrgJLRCIxsLF7r3f8f6HY0877uNs9iEWfHQteEXZN2yod9rZb+P/QSbCHrkIAGFO/1X5MCj9RYin2gFRU+wHdYDtCHTxs6venF5XERERJCRkYHZbB5Ro8x4QZtDzs3NJTW1vwokHAzWzZY4JRa9QacGFoqihGiJm5ubcblcmEwmIiMjsdvtSJKkmigdL3R3d1NWVkZGRgaLFoWqV3bv3s1NN93EZZddxocffhh2dBsuKisryc/PB+C1116jqKgICBbFHnzwQb797W+zY8cO4uLihkwtjAQnDOkKaEfkaA1pxtNpTIzsESbeVVVVqtxMFMkms5MMjo2GiYuL4+STT1YvTrfbrd50jY2NdHV10dLSEswnR6VQfqR9UBnYaCCIxXKkhpd8Z1KjZHBm8H9wupxYHsgPGprrDJif/RZK9BTKZt+CC5M6F02d/jsS6CQkiwGlt5EDfzC6DpjBZDYxa04wpWS1WmlpaaGysjLEeUxEgxNFxDabjbKyMuLi4sY1h9y3m00LSZKIiIhQJxPDMR1yXV2dOmVk7969at1AnIvRONGNFIFAgKqqKux2e78JKx6Ph3vvvZetW7eyfv16Zs8eWHkyVtx2222Ul5ej0+mYNm0aDz/8MBDsonzzzTfJy8sjMjKSJ554Ytz2ecKQrs1mo7S0FIPBMOCIHK16YawwGAxqJ1lERIQqGD8ezQ1iWkUgEBgwH9f3pvvggw+AoDnHkb0OFAUikxUqag6pN11cXNyo+uMF8SckJJD2nUf5bauTgKzw/tq/AxJy1lKkjgPBF8u+4B9XJ1t27AGCx33KvJNYvHjxiPetsxhI+HlwQrOiKLT/ZR+6dh/K7FgWLjq2bI6JiQlpUXU4HP2IOCoqKiQ1MRaCFPnSnp4eioqKxs14ezRwuVyUlZVhNptZunRpSNSorRuIAq5Opwt5II2npLGrq4vy8nIyMzMpKCgIuVc+/fRTfvrTn3L55ZfzwQcfTOiK5KWXXhrw95IksW7dugnZ5wmh0wXUauZgHpuBQIBdu3aFDJobDQTJtba2ctJJJxETExMy2mWyyFY4kXV0dJCXlxeSZhgMsizz4IMP4vF4uPjii/nkSStel5+zrs0nNS8Sq9Wq/vF6vURGRoaQT7+WXG8AvU7CoJOIM8Mfz46loKBAJf7tLz7DgX+/jdftRkaH0WggOiGBK+/7s3pM3ZvqeHT3c70/SZgwgAQpmVPUWVUjgc1mo+qzMrI/1CFJEH/TXHQx4S9JtUQsSEhLxIKEwiECsQqaOnUqmZmZxy1fKkbANzU1UVBQEPbYKm1Th9ASS5IU0l03Uicxv9+v2pXOnDkzJK3hdru55557+Pjjj3nkkUeYNWvWiD/r5wiDftknTKSbnp4+ZGuumKo6Woihh+3t7eTn52O1Wo9LJ5m2SygrK2tE0p66ujq1xz3Cl4zX1RmUgRUnoNPrsFgsIflAl8uF1Wqlo6OD2tpafD4fUVFRNLV7+7XkGnQ6FixYELI/r8uFz+1GAvTIyD4vbrst5DWyx48OHbIUfL57Ca4UwpHkaSGMWOx2O7nOJBSlC0N29IgIF1CjO21Eqp2yoPXiDdHPakzR3W63umTt2zY72RBpDSGNGwlBDqSkEQbxIl3Vt3Apzt1AD6XOzk4qKiqYOnVqvykru3btYtWqVSxfvpzNmzcfNwnfZOCEiXQDgcCwOdtt27Zx8sknj2i72iJZdna2GrFs3bqV9PR04uLiwo58xoquri4qKyuJj48nJydnxEWFF154gdraWhYtWkSgOoPGsh6KT0vjpEunD/4mZzuWdfOQlP4PrDcWPYneaCZe08Qw0Lk47X+20uPy89S1C5iXNbQHQqCriyPnnAsDPCCzd+5AGmBAYXNzM/X19UyfPp0pqVPo+eM+FHeA6CtyMRVOjLhfq58VUbHf70eSJLxer3qtjHfhJ1wEAgFV6zrRaY2+qwObzRbyUIqKiqK1tRWfz8fMmTND1Boul4u7776bXbt28cgjjzBz5swJO85Jxokf6Y43hiuSzZs3j+7ublpbW6mqqkKW5ZCROEKmNB5wOp1UVgZNvGfPnj3oSPfh0NLSgl6vZ/78+WzcXBsiAxsUkh4iElD8vWOFAh6QA/jMiZx8ymmYzGb1htNGgVrJ1oig06GLi0Pp7fhTvF4IBNAnJ0OfKM1ms1FeXk50dDQlJSUYjUa8VT0o7gCSSYcxb3zGuQx8mMf0sxkZGaq+VHz3drtd9V3um5qYaCIW+VKh/53oFdhgqwOn00lTUxN1dXUYjUZ0Oh3l5eX4fD7q6uqIiori7rvvZsWKFbz33nsndHSrxQkT6Qqvz6Gwbds2li5dOiwZim6lyMhI8vLy1CLZUHlboRft6enpl//StrKO5AYQul8xZXg8RsiPFiK9MuPf3yPGVo3vtFvxf+WmAV8rIp8H/l3Dq4e6cPkV9BIYdJAYaeCl6+aENSwSoPm7V+E9dIj4//4xcd/7HhBMJdTU1GCz2fo5kln/UYm/2op5SSpR54dn5zgWiLSGw+GgqKioXyFTURQ1NSGiYkHE2mtjPIhYa5TTN1862fD5fFRUVKjRrdlsVlNW+/bt4+677+bQoWDxtqCggJUrV3Luuecet+OdAHwZ6UJQwSDMlweCy+UKuVBE+2E4igStZ4JAIBBQbzQxEkfb0hsXFzdgJ5lWzzl16lTy8vKOaxFGLN9nJOiIsdeCTo9/zrcHfY+IfDBF4PIHn9sBJehFbvXI/brJBlsd+I4cwVtWBno9UcuW4XA4+lWU33vvPQB+/vOfo9PpCDQ7QS8RUTK2nvzhoCgKra2t1NbWMm3atEEnQUuSpEbEQucpxgRZrVba29vVfLm2cDlSIm5tbaWmpobp06eTlpZ23K4XOFZA7NuEIkkSe/fuZfXq1Vx11VVs3LgRnU5HQ0PDpA25/DzghCHdkdg79iVdETl1dnaqnWRjmUkmIGZL9W3pFUR89OhRtZNM5IZlWaauro6kpKTj6gkAx+bCxcbGUlJSQuS2+0EJIE89GaKH7+wbzo5RW5Q5cuSIujoQRGx89jmQZcwlJbgtFvbv24fJZFKbYAKBgFrEEd+PkI1NJMRctYiICDWtMRKIMUFRUVEjImKtgkRAFO30ev2ofDXGE8L4XVGUfsfidDr5zW9+w759+3j22WcpKDjmhjZiTfYXHCdMeiEce8f9+/czbdo0NRrVtglPmzZN1W9OtiLB4/HQ1tZGfX29Ot0iMjJSJeLY2NhJvZk8Hg9VVVV4PB4KCgqCff9yAMuDc8DTg/eSvxHIP39C9i0sD3u6upCvuQbJ4eToddfhmjObrKwsUlNTVRPwJ598kpaWFk477bQQz9mJwmQ7cGmJWKQnBBHHxMTg9Xrp7OyksLAwLMngREJE2jNmzAhptVcUhY8//pjVq1dz3XXX8d///d//KVHtl+kFCEa6Pp8vxLg8NTW1n90iTJ7e1ufzUV9fT3d3N8XFxSQkJKjjTHp6eujs7KSurk6Vaw2lEhgrZFmmoaFBHVWknZqgq/sAPFYwRhGY8dVx3a8WwvLQdPAgbU4XstlM2gXfIDouDpvNpqZpvF4vra2tSJLEjBkzRjV0dCQQ3supqamT5sA1WETc0dFBRUUFer0eo9FIRUWFSsST/ZD2er2UlZUhSVK/6NbhcLB27VoOHTrECy+8QF5e3qQc0+cdJwzphuup29PTQ3V1NZGRkce1k0yYmosoW2s2IkkSFosFi8VCWlpwyKEoyIi0hFBMiKV4XFzcmEZet7e3U1VVpZJK3+0YP30MlAD+OctBP7HVd7vdTvMjj2CUZWIuXkZyTnAsu7aQ+P7776MoCikpKWpudawWmAPB6/VSWVmJ1+tl7ty5x7U4JVJP7e3tzJo1S20E0mqqOzs7qa+vVyc5a1UT46kX1ua0+06VUBSFrVu3cuutt/L973+f//u///tPiW7DwgmTXoDgDTLY5xGm0ABz585Vi2STHdnCsQF/SUlJTJ8+fdQRq9Zhq6enR50+IFp5w5nHJUbM63Q6CgoKBnW8svx5NnhtuK/9N0rS+EcsXZ4uvvHaN5Dpr8/96JsfYdAdO0fazrpLLrlENSzR5sutVqs6KHI4C8yBoG1CmWyD84HQ3d1NeXk5qampTJs2bdhIWxCxVjUhiFgbEY+GiD0eD2VlZRgMBgoKCkJy2na7nV//+tdUVFTw6KOPkpubO+LtnyD4z00vCElPV1cXycnJmM1moqKiJj1vC8HlllgWjkfUpFVMiPE/2gGRAykmRASoNc8Ox9DddeOBMR3rUFAUhfaj7Vh0FgIEkHQSvoCPgBIgKSIJfZ8x49rOuhkzZiqwJHAAACAASURBVKi/H2g+mdfrVUmnpaVFddnSno++dod2u52ysjKio6OPezFTtM06HA7mzJkTtkZbkiQiIyND7ExF2spqtdLd3U1DQwNer5eIiIiQ8zEYEWuVLPn5+SEDORVFYcuWLdx222384Ac/YN26dcfVBP3zjBOKdLX2jiI/2djYyPTp0yksLKS1tZXW1lbsdjsWi2XSLgqhjujp6aGgoGBCCzB9x8CI/QviaW1txWaz4fP5iIuLY/r06VgslgnPiQ4Gh8NBeXk5ERERvH3R22pO8Np3r6W0q5TL8y7vd1yffvopiqIwZ86cYZetJpOJ5OTkEILweDzq+WhqasLtdmM2m4mJicHpdOJyuZg5c+agPh6TBSG9ys7OHlSSNhJo01aDEbHw4dUSsdBBl5aWYjab+z2IbDYbd9xxBzU1Nbz66qufu9HonzecUKQLx3JNNTU1TJkyRW2GkGWZuLg4VQbldruJiIhQl+FxcXHj3ikkWogF8fd1U5osiAjQaDTS0dFBSkoKU6dOVSvjgni0N9poncbChTCt7urq6jemptHeSHl3OXpJz4XTL+z3Xm1n3WhgNptJSUkJsTtsbm6mpqaGyMhITCYThw4dCjsCHG9opVcT7d0QDhFXVlbicrnU+kFnZyeSJJGYmMiWLVv4xS9+wY9+9CP+8pe/nJDR7aZNm9i8eTNf//rXmTt37pgfxidUTretrY3S0lKio6PJy8vDZDINmrfVXlg9PT309PTg9/uJjo5WiTjcrqmBIApTKSkpTJ8+/bgWErQjagoKCgbsw9eeD3FOhDxJK10b61JbKEdqamrIysoiKyur34No3b51PFn+JItSFvHQmQ+NaX/DwePxUF4eHNeuzWn3PR/anKiWiMfzwaRdvo9k5PlEweVyUVpaSmRkJLm5uSHz+9auXcuuXbtwuVysWLGCs88+mwsuuOCEauX1+/2sXLmSPXv2cPbZZ9Pc3ExGRgZ33XVXOG//z8jpejwe1VN2OEXCQE94rXGHtmtKG/0NN51XTBo2Go2jGsUyntBG2sONqBks4hHR8GC+CiN5MIlUgtlsHlTIH1ACvFr7KjpJx/L85aP/8MNAmHk3NjaSm5vbj+AGOx8DqQTG0kkmIBouIiMjj3seWXtuCgsL1Xy/0WgkIiKCgwcPUlVVxa9+9SvOO+88du/ezZ49e1i2bNlxO+aJwJYtW5Akie3btwOwceNGXnvtNaxWKzExMaNetZ5Qka7P58Pv96sjnMejSKaK9Xs9FRwOBwaDQSVhUYjR+gEUFBQc93xgZ2enOvZ9PCNt8WAS50M8mERFXDyYtMtM4XjV2dk5bE7745aPWbV1FRa9hU0XbwpRLYwXxJTm+Ph4ZsyYMaZzo30wiT+BQKBfJ9lgRCxqD62trZPScDEcnE5nyGpRe26sViu/+tWvaGxs5JFHHiG7z7y78cbhw4e5+uqraWlpQafT8YMf/ICbbrqJzs5Oli9fTl1dHdOnT+f5558f9WTv4XDo0CGKi4uB4LTfW265hc2bN4fz1kGJ54Qi3dWrV6uOU4sWLRrT02goiIq4SEsIK7ukpCQyMzMnJD8cLoR/BASXy5OhK9UqJoTZj16vV89/e3s7U6dOZerUqcN+Hz/d8lM+bvmY5XnLWbVg1bgep9/vp7q6GpvNRlFR0YRNAtZqqsWDSVgdaolYRLdJSUnk5OQc13yo1ui8qKgohPwVReG9995jzZo13HTTTVx33XWTcqzNzc00NzezcOFCbDYbixYt4tVXX2X9+vUkJiZy2223ce+999LV1cV999035v0NV0zevn07//u//8tzzz036Gs0+M8g3fLycrZv386OHTv47LPP8Hq9zJ49m0WLFrF48WJmzZo1bmSoKArt7e1UV1eTkpLClClTQjSz4iYbj/xwOBASsPb29rAnSUwkrFYrpaWlKIqC2WzG7XZjNBpD8sN9pVoA5712Hg6fg3+c+w+mxYxPT76w6ayuriY7O5uMjIxJL2hqjdC7u7tpb2/H7/erU54n4xoZDA6Hg9LSUuLi4vpF/j09Pfzyl7/k6NGjPPzww0ydOvHObYPh4osvZuXKlaxcuZLNmzeTnp5Oc3MzZ555ppqXHw2EJlvYAPSFLMvodDqee+45NmzYwDPPPMPu3bsJBAKUlAw6tPU/g3T7wu12s2fPHrZv386uXbs4ePAgkZGRLFq0iJKSEkpKSsISmveFzWajsrISk8lEXl7egHnbwZbhI8kPhwNtYSozM5OsrKzjGjENlUrwer3q+bBarZOimHC5XJSXl6tC/uNpCAPHBqdmZmaSkZGB0+kMsQPt68s8li7D4aAoCvX19bS2tlJUVBSSElMUhXfeeYc77riDVatWcfXVVx/X66quro7TTz+dAwcOkJ2dTXd3t/p/CQkJdHV1jXrb9fX1PPTQQ6xYsYLHH3+cyy67jDPOOKPf6/70pz+p+dxnnnmG3//+90NNrf7PJN2+UBSFzs5Odu3apRJxfX29OvZGkHFCQsKAZOj1elXv1Pz8/BHnbbX54Z6eHhwOR0j0FxcXh9lsDpuIbTYbFRUVWCwWVa1xPCGiyYyMjLDIX4wI1xLxeBWmtD4SI5kLNlHQ+ssWFRUNWmCVZblfqgboR8RjJUC73U5paSkJCQnMmDEjZHvd3d384he/oLOzk4cffnjQCHCyYLfbOeOMM1izZg2XXXYZ8fHx40K6IoIFuOqqq3jjjTc477zzWL9+/YAyvZUrV/LYY49x1VVX8Yc//GG4+/9L0h0Mop99x44d7Nixg08++QSbzcbMmTNVEi4sLOS5555j7ty5494Sqs0Pi+hPyJIEGfclHdFlJ0y8RzydYZzhdDopLy/HaDSSn58/Jl3pYIWpkaRqRMuskOsd71yp8CgY7bWjtcAUqybtpN5w2r0FhFNaW1sbM2fODJEPKorCxo0bufPOO/n5z3/Od7/73eOuu/X5fFx44YWcd955rFoVzPEXFhaOKb2gzd0K4v373//OunXruPXWW/nmN785YH73t7/9LYWFhVxxxRVA8HsZ4jr8knRHAp/Px/79+9m+fTsvvvgin332GbNmzWLu3LksWLCAkpIS8vPzJ2TZp3UY65sfjo2Nxev10tbWRk5OznE3q9bmkcNpJR4ttFI+UbgEQjTVYkiomJxQWFjYb4rDZEOMPDeZTP08CsaKgYqX2rZwQcTa68Nms1FaWqoqWrSE2tXVxW233YbVauUvf/kLGRkZ43aso4WiKFxzzTUkJibywAMPqL9fvXo1SUlJaiGts7OT+++/P6xtaqPbf//73zzwwANcddVVLFu2jP3793Pbbbdx//33s2jRIvU9Pp+v33en3c4g+JJ0R4MPPviAJ598kt/+9rdER0fzySefsGPHDnbu3Kk6cmnzw0PpYMcCWZZpbm5WnbSEFE4bDY9HfngkEKmE9PR0pk6dOukRkYj+xMOpq6sLr9dLfHw8aWlp45YzHw1GO/J8rNA2Lwh5o1CRuN1uXC4Xs2fP7hfdvvXWW6xdu5Zbb72VFStWHPfoVmDr1q2cdtppzJkzRz2mu+++m5NOOokrrriChoYGsrOzeeGFF0Z8jtetW8fHH3/M3Llz2bNnD7NmzeKXv/wld9xxh/oAeuaZZ1i5cuVoZxJ+SbrjDVHxFGmJnTt3quPZhWRt4cKFY7YXdLvdVFZW4vf7KSgoUKM37Sig8cgPhwtRmNLr9RQUFBzX8eJwrOHCYrEwffp0tXlBkI7WZSwuLm5AxcR4QuRKx0MDPB7o7OyktLQUi8WCXq9Xndc++ugjdDod27ZtQ6fT8dBDD6mevSca+qYBNm3axPnnn8/GjRs555xz2LhxI2+99RannnoqF110EatWreLAgQPExcXx4osvjrZW8iXpTgYCgQClpaXs2LGDXbt28dlnnxEIBJg7d64aDc+cOTOsbqNAIKCK5gfqmBoIA6kDhssPhwuR+25rayM/P/+4F6ZkWaa2tpb29vYhmwq0LmM9PT2quY32nIzHg0McT0dHR79c6fGALMuqt0VxcXFIqsXj8bBu3Tpef/11ZFnG6/WSnJzMCy+8MGEpouMNWZbZvHkzCxcuJD4+nhUrVuDz+XjhhRcIBAI8/vjj7Nu3j+uvv54FCxaoUfQY8CXpHg+IttFPP/2UnTt3smPHDsrKyoiLi1O1wyUlJWRmZqrLJ6EprampIS0tjezs7FEv97T5YUHG2jbecI3PhY/EWI9nvNDZ2UlFRcWojkcoJrREPFbFhHbk+fFItfSFGAcvzo82su/o6GD16tX4/X7WrVuntjgfPXqU5OTkcT/266+/ntdff53U1FQOHAjag05mRxkEDe9XrlzJKaecgsPh4JprrmHmzJl861vf4tZbb+Wyyy6jqqqKRx99lJNPPplLLrlEfe8wxbKh8CXpfl4gmiq0aQnhQpaTk8O2bdv4+c9/znnnnTchvg0D6YfFqPi++WHR3SZJ0pAG55MFr9dLRUUFfr+fwsLCceu2Ew9H7SpBmB9pibjvzefz+VQjoeM98hyCBFFdXY3VaqW4uDgkF6koCq+99hp33303a9asYfny5ZOS7/7www+Jjo7m6quvVkn3lltumZCOMuhf4Orq6mLNmjXcfPPNxMbGMnv2bO68805+9KMf8cILL3DvvfeyefNmYmJiaG9vD7EAHSO+JN3PM1wuFytXrmTLli2cdNJJVFdX43Q6mTVrlpqWmD179oTlT0V+WOsvEQgECAQCZGVlkZmZeVwJVzuSPjc3l9TU1Anfp1YxIR5OiqKoRBwIBGhqavpcqEggKJMrKysjIyOjX7t1e3s7N998M5Ik8eCDD07K+dOirq6OCy+8UCXdsUq+BoOWcL1eLyaTCbfbzc9+9jPVMe3HP/4x11xzDR6PB71ez9VXX825557Ltddeq25nnLylvyTdzzNkWWbDhg1cfPHFIRfNnj171Gj4wIEDREREqJK1kpKSfqL28YDomEpOTiY2NlZt5vB4PFgslpA23snwlxBTHGJiYsjNzT2u7luyLKtGQmLZKdQBx0tFEggEqKqqwm63U1xcHBJtK4rCq6++yr333svtt9/O5Zf3N4SfDPQl3fFqbhgIPp+PG264AYvFwpIlS7juuuu44YYbaG5u5pFHHiEzM5POzk4eeeQRbrzxRgwGw0QFFF+S7hcdiqLQ3d3Nrl271EKdaP1duHCh2lGXnJw8qhvL7XaHGOX0vRC1toaD5YdjYmLG7SEgTM67u7spKio67oUpEW0fOXKEvLw8dRkqZFrinDidTtWFbqRz2UYKkdsWqxHtPo4ePcrNN9+M0Wjkz3/+83H15p0s0j106BCPPPIIBoOBr3/963zzm99k69atNDc38/LLL5OQkMAZZ5zBnXfeyfz583nooYfU6zUM3e1I8SXpnoiQZZnDhw+zfft2du7cya5du+ju7qawsFAt1M2bN2/Im17bLpufnz8io5zB8sNaidZoJHNCAyy8JI730t3hcKgz08KJtsV4JHFeXC6XqpjQmv2MFn6/X53mUFxcHLItRVF4+eWXuf/++7nzzju57LLLjvv5m4j0Ql+SbG9v54YbbqCnp4cXXniBpKQkHnjgAR577DEOHDjA/v37eeqpp2hpaeHyyy/noosuGtfPOAC+JN3/FPj9fg4ePKh6S+zZswdJkpg/f35IW7Ner+fAgQPY7f/f3pmHVVltDfy3AeVKTqFCTimjCBdHVCzNAYSLlqllmlhXzbKbYxZmVl9qCprllF3pmjYo6dXUNMeScsgBhLhOOIspMig4ICCH4azvj3PO2wGcPQwGv+c5D+/Eu/d7zn7XXnvttdfKxNHR8b4C/9yMm9mHTYkgzeMP34ycnByOHz+OUopmzZqVuQ+wacnsxYsXiwWEuVeKZqEwmWvu1Z3PZP55/PHHqV+/fiGBmpqayltvvUW1atWYN2+eJSeFHoiiQvdBVpRBYZvrb7/9Rp06dfDw8CAqKorQ0FDGjh1L9+7dUUrRpUsXPD09WbhwYbH/LQHt1pxKoVtREREyMzOJjY3VzBJHjhxBp9Ph4ODA2LFjad++fYlOBpn7D9/KPpycnExSUtI9a9slhcnt6m5Tnt8r5uYac48Jk+uayVxj0qrz8vI4efIkubm5xQLm6PV6Vq9ezSeffMLUqVPp06dPmWu3Jl588UW2b99OWloajo6OTJkyhT59+jzwirK8vDxGjx7N/v37admyJefPn2fz5s18/PHHXL9+nSFDhtCsWTPOnTtHQEAAUVFRmvmrhIWtiUqhW4mBPXv2MGrUKMaPH0+NGjU0jTglJQVXV1fNLNG6dWuqV69eIi+vuYvWpUuXSEtLw9raGnt7e2rXrq0FtSkLf1dToPPMzEw8PDxKNX6DefBzU4wJvV5PlSpVyMrKomHDhsWygKSkpGi/5dy5c8tFh1USFPWX/f333/noo49Yu3YtYIgSZm1tzRdffMGIESPo2LEj/fv3x97evqwyXVcK3UoM6HQ6RKTYEL+goIATJ05o9uG4uDhyc3Px9vbWBLGnp6fFPBZMkdKysrJo1qwZdnZ2mn342rVrZGZmWsQ+fC+YFoHcbGKqLMjLy+PYsWPodDrq1KlDdna2Fm1s6dKl1K5dmx07djBz5kz69u1b5vUtCcwFpk6nQylF1apVWblyJevWrSMiIgIwaPteXl5s2rSJvXv38vvvv/P+++9rKxUfYJHD/VIpdG9FSEgIP/74I1WrVsXFxYWvvvpK+6HCwsJYvHgx1tbWzJ8/n8DAwDKubemSk5NDXFxcoSDw1atXLxTk535WhJmCrjdp0qSYXdKcop4B92IfvhdMKc/1ej0eHh5lbksGtESgzs7O2qoxE2fPnmXChAlkZmZSr149Tp8+zVNPPVUoEtdfjZ9//pnRo0fj6+uLs7MzEyZMoEmTJmzbtg1vb2/AsPpt+vTp1K9fv6y0W3Mqhe6t+Omnn+jevTs2Nja88847AMycOZP4+HhefPFFoqOjSUpKwt/fnxMnTpR5AJOyRERIT08vFATeZJczBflp27btLYPAm4c6dHNzu69AIqYlvCZBrNPpitlB71YbFxFSUlI4e/ZsqS26uBO5ubkcO3ZMm0w0/470ej0rVqxg/vz5hIaG0qtXL+17vln4wZJgy5YtjB07loKCAoYPH87EiRMtXoZJYJoyek+bNo3s7Gz69u1LnTp1eOGFF5g4cSLVqlXjww8/ZNKkSWzfvp3jx49r9uFStN3eikqhezesXbuW77//noiICMLCwgB49913AQgMDGTy5Ml07NixLKtY7jAFejEPAm9y1DdpxO7u7kRERNC2bdtCKb0twc2W8Jr8h82Dnhd9+UwrlExZN8oqkag5qampnDlz5qYdQHJyMmPHjqVevXrMnj27TALTFBQU4O7uzs8//6xlW1m+fLmWLdcSFBWUer0eFxcXvLy82LBhAwDHjh3TlKCtW7dy8OBBsrKymDlzZllrt+bcsiJlt7ynHLJkyRIGDBgAwIULF/D19dXONWrUiAsXLpRV1cotVlZWuLi44OLiwqBBgwCDtnbo0CGioqKYMWMG+/btw8vLi1OnTuHj40O7du1wdXW1iBailMLOzg47OzstNKFer9dsn4mJiVqmBZN9OCsri7S0NDw8PMpFVC2dTsexY8ewtrbGx8enUAeg1+v57rvvWLBgAWFhYfTs2bPMBEt0dDSurq44OzsDMHDgQNatW2cRoWvSbq2srLh+/TofffQRHTp04LnnnmP58uUMHjyYixcv4uDggIeHB127duXEiRP07duXvn37avcpA9vtPVMhhK6/vz8pKSnFjk+fPp1nn31W27axsSE4OBgwNIKilKNetFxTtWpV2rZti52dHRs3biQ2Npa6detqQeAnT57M6dOncXR0LGQftlQaJHMB26hRI8BgH05NTeX06dNaIPgzZ84Uiz9cmpibN1xdXYutGktKSmLMmDHUr1+fnTt33jJ8ZWlx4cKFQtmAGzVqRFRU1APf11y7TUlJYcyYMVSvXp1vv/2Ws2fP8tZbb/H000/z0ksvMWXKFNLS0oiLiyvWYYpIuRe4UEGE7rZt2257/ptvvmHDhg1ERkZqL32jRo04f/68dk1iYmK5SGHyMNG8eXM2btyo7fv5+eHn5wf8uaw2KiqKffv28fnnn5Oeno67u7tmH27durVFPBZMGYqvXr2qucJBYftwYmJiMftwzZo1SyzWQ05ODkePHsXW1vam2u2yZctYuHAhM2fOJDAwsFx0+CWliFhZWXHt2jUmT55M06ZNadOmDRMnTuSnn35i48aNrFmzhjlz5uDr68u0adPw9vZm3rx5NGnSxOJ1KQ0qvE13y5YtjB8/nh07dhTSNI4cOcKgQYO0iTQ/Pz9Onjx53z3pqlWrmDx5MkePHiU6OhofHx/tXEX3kjBRUFBAfHy8FuQnLi4OESkUBN7Dw+OeBKEpPsHNom8V5X7tw/eCKePIuXPncHd3L+ZXm5iYyJgxY2jcuPHdZJwtVfbu3cvkyZPZunUrQLF5j/vl999/JywsjEaNGpGens6OHTv4448/AENanVOnTvHGG29w+fJlXn75ZXbu3Imjo2NZT5TdicqJtFvh6uqq+UEC+Pr6Eh4eDhhMDkuWLMHGxoa5c+cSFBR03+UcPXoUKysrRowYwSeffKIJ3UoviVtjygxsHgT++PHjPProo5qnRLt27W7qU2tawaXT6WjevPl9u5aZ7MPm8SVM5guTIL5bbTwnJ4f4+HiqVauGm5tboc5Dr9fz7bff8sUXXzBr1ix69OhR7jQ3U8qoyMhIGjZsSLt27fjuu+/w8vK663sUFZSxsbGEhoZiZWXFqlWrAPDw8GDYsGFMmDCBs2fPMmvWLDw9PRk5ciSDBg0iOzubH374weLPZ2EqhW55oWvXroWEbqWXxL1hyqxhHgTeFNfWZJYwBTp//vnnSyRZaH5+fqHME9nZ2VStWvWW9mHzCGU3S1R5/vx5Ro8ejbOzMx9//DE1a9a0aH0tyaZNmxg3bhwFBQUMGzaM9957767/11zgxsbGaiv+Fi1axNatWwkJCaFDhw7ExMQQGBhITEwMTk5OHD9+HHd3d5RS5Ofns2vXLrp161ZSj2gpKr0XyiuVXhL3hlIKBwcHnnnmGS1SlF6v59SpU2zatInRo0drCygOHjxYKAj8fSYYLIaNjQ329vaFhOet7MN2dnakp6dTq1Yt2rVrV2gEo9fr+frrr1m0aBGffvopfn5+5U67LUrPnj3p2bPnff2vlZUVGRkZjBw5kuPHj+Pg4EC7du0YN24cJ06cYNeuXVpi1z59+vDOO++wcuVKmjVrBhg6Oxsbm4dB4N6WSqFrQe7GS6IolV4SD46VlRXu7u4sW7aMRYsW4e/vj06n04LAf/HFF1oQ+DZt2miC2MnJyWI2QVtbW+rVq6fNC5gSQyYnJ1OrVi0yMzPZv38/1atXZ8uWLbi6uvLll1/i4eHB7t27tcm9vxpFXbiWLl2KUoro6GjOnDmDv78/PXr0oF+/fnz33Xds3LiRl156icWLFxe7V1kGsLckf42nuA8WL15M48aNad++vcVcce7kJXEzKr0kLMfUqVO1bVtbWzp06ECHDh2AP4PAm2zDa9asISEhgYYNG2pCuG3bttSpU+eBO73s7Gzi4+OpWbMmTzzxhCZ09Ho96enpnDp1SosZoNPpmDFjBtOmTXugMssr1tbWpKWlsXnzZl566SUyMjJo27YtAM7Ozrz33nuMHTuW/fv3ExkZSWpqKtnZ2fztb3/DyspK027/UojI7T5/WZRSEhAQIK1bt5bg4GDR6XQiIqLX67VrzLctRZcuXWT//v3a/uHDh6VFixaSk5MjZ86cEScnJ8nPz3+gMjZv3izu7u7i4uIiYWFhD1rlvywFBQWSkJAgy5cvlzfffFM6deok3t7e0r9/f5kxY4ZERkZKWlqaZGVl3dUnMzNT4uPj5ZdffpGkpKRi548cOSLdunWTkSNHyvXr10VEJCMjQ+Li4kr8WVeuXCmenp6ilCrU/kREQkNDxcXFRdzd3WXLli0WLffrr7+W1q1by7vvvisiIv/+97/lmWeekYKCAhERuXHjhrzwwgsiInLp0iWLll3G3FKuVkihe+jQIXFychIRkaysLHn66adl+/btha4xNYrvv/9e8vLyHrjMNWvWSMOGDaVq1ari4OAgAQEB2rlp06aJs7OzuLu7y6ZNmx6onPz8fHF2dpbTp0+LTqeTFi1ayJEjRx60+hWG3NxciYuLk4ULF8qwYcOkTZs24uPjI6+++qqEh4dLTEyMZGRkFBOoFy9elO3bt8uBAwfk+vXrhc5lZGTInDlzpGXLlvLrr7+WSGd+J+Lj4+XYsWPFOv0jR44U6vSdnZ0fuNM3kZGRIf3795cDBw4UOh4UFCTjxo2T9evXS3BwsAQHB2vvm4gU2n6IuaVc/Yvp7XdHZGSk5uaSnp6Op6cnhw4donXr1qSlpWkJH7Ozs0lISNCGNwUFBSiltM+9UHS5ojnvvffePc0C346SXKpZEahSpQqtWrWiVatWvP7664WCwO/bt4/Q0FBOnDhBvXr1tAUce/bswcPDg+eff76Y50FCQgKjR4/G29ub3bt3l2p8XnOaN29+0+Pr1q1j4MCB2Nra4uTkhKurK9HR0ffkPXP+/HkcHByKrei7dOkS+/bt0xYxZGVl8cgjjxAeHs6WLVuIiIigefPmfPjhh4X+rxz73lqECil0Y2JiyMvLQ6fTsX79ehISEujbty8zZsxg7dq1uLq60q1bNwICAgpNgN3Od1bKPpQcUHJLNSsqSilq1KhB165d6dq1K2D4rZOTk1m1ahUTJkzgscceY+fOnURGRmrLmlu2bMny5ctZunQp8+bNo3PnzuWifRTFEt4zo0aNok6dOixZskQ7JiI0bdqUPn36sGLFCkaMGMEjjzzCqVOnyM3N5bXXXuPlQF9TcgAAEG5JREFUl1/W/KcfhpgJlqJCCt29e/fi6elJUFAQNWvW5O2338bX15dx48bRv39/3nrrLWrVqkX//v1p2LAhc+fOZcqUKVy7dg1PT0/c3Nzo1KlToUZieqFMwvfMmTNYW1sXW6pY0kilN0SJo5SiQYMGXL58mU2bNtGiRQsKCgo4fvw4UVFR/PDDD7z++uu0b9+e3bt3Y2dnVyr1Km3vGZOg/M9//kOXLl3Ytm0b/v7+hUIz+vn5sXDhQnQ6HXXr1mXmzJmMHDkST09PTTOWhyRmgqWocEI3NzeXq1evsn79euDPhnP16lUyMzN54403tKWXiYmJvPrqq4AhPoO/vz9ZWVm8+uqrLFiwgICAAAAOHDiAlZUV3t7eWoM9deoUiYmJDBs2jPz8fKysrO7LLHGvlIY3xLBhw9iwYQMODg5assHLly8zYMAAzp49S9OmTVm5cmW5iOBVkkyZMkXbtra2xtPTE09PT4YOHVomI5/S8p4xvTPW1tYUFBTg6OjI+PHjmThxIrt27aJatWqaIH322WepVasWGzduZMeOHSxevFhbGGT6fiqcUnA7g2/p2ZxLj23btkn16tVFxDBpYiI2NlbatWun7efn54uTk5OkpqZKSkqKODs7S0pKioiIhISEyKxZs0REZPbs2fLiiy9K586dxdnZWbZu3SoihgmKu5kQsPSkSl5enjg5OcmZM2e0ibTDhw9btIwdO3ZIbGyseHl5acdCQkI0T4mwsDCZMGGCRcusxDI8qPeMeXtdvXq1bNy4Ubu+d+/eMnbs2ELX3ax96/X6MplMLGUqvRdMJCYmyoYNG0RECnklzJ07V4KCgrT9/fv3i4+Pj4iIREZGSseOHUXEMCMbGhoqn3zyiVy7dk0aNGggx48fFxGR69evy6VLlyQtLU3q1q0rqamp8ssvv8iMGTMkPDxcNm3aJNnZ2SJSvDHq9XpNSF+4cOGBnnHjxo3i5uYmzs7OMm3atAe6161ISEgoJHTd3d0lKSlJRESSkpLE3d29RMqt5P6wpPdMUlKSPP/889KnTx8ZPny4DBw4UAoKCjTl5JdffhGRmwvcv4hnwt1QKXSLUrRBrFu3TiIiIrT9KVOmSM+ePUVE5OOPP5ahQ4eKiEHYhISEyKpVq2TXrl3Svn17ETH4G5qIiYkRX19fERH5/PPPxdHRUaZPny4BAQHy5ptvamWvWrVKoqOjNY3b1CC9vLxk3bp1JfHYFqOo0K1Vq1ah87Vr1y7tKlVSQhQVlIsWLZLPP/9cRERGjhwpderUkblz54qIyJIlS8TZ2bnQ+1BBqXQZMyFGW1tRO1Lv3r0L7Xfv3p1OnToB8L///Y9WrVoBhqSA165do3nz5uzdu1ezf5lHsYqNjcXJyQkwzA737t2bSZMmMXz4cAIDA0lPT6d69erEx8ezfPlyTp8+rcVNBYPduU2bNjetv16vR0Q0G3EllZQUpgA1VlZWXLp0iYsXL+Ll5cXw4cNJS0vjH//4B0888QQRERGMGjWKtm3bMnToUA4dOsSVK1e0TB6VFKbCCd1bCaqiLismgQuG9eI6nQ4wLC9t0KAB1apVIzAwkF27drFixQr8/f2pXbs2NjY2HDhwAF9fX7Kzs7l69Srdu3cHDHmuOnfuTEJCAu3ataNXr15MmDCB3bt3Ex4eTmBgIAcPHsTW1lbLeFCUm/kw6vV67dnKShA7OjqSnJxM/fr1SU5OLhdJHiu5P3Jzc6latarW1pYuXcr06dOpW7cuXbt25bXXXkNEyM/P5//+7/+AP9MK+fj4MHv27LKsfrnnr+2FfA8UdVkxCTIwCLpq1aoB0LFjRz788EOcnZ1p3LgxQUFBrFy5ks6dO7Nz504KCgrYuXMnbdu2JTU1lZ9//pkaNWoABo3Zzs6OvLw85syZw6RJkwgICOCFF17QXHf27NmDu7s78KfpByAjI4OIiAj69evHrFmzOHLkSKH6FdV8zf+3NOjduzfffPMNYPD0uJWL0r1y/vx5unXrRvPmzfHy8mLevHmAwVuiR48euLm50aNHD65cuWKR8sorISEheHh40KJFC/r27cvVq1e1c2FhYbi6utKsWTMtwPj9smvXLkJCQgBD8s45c+awdOlSYmNjiYiI4MaNG3z11VekpKRgb2/PBx98wCuvvEKvXr2YOHGiNuIrzbb30HE720NpGkAeFm4365qfny85OTkSFhYmOTk58sMPP8gzzzwjo0aNkmXLlomvr68sX75cfvvtN+nRo4ckJiaKiMjrr78uU6ZMERGRIUOGaF4A5ra0sWPHysCBA2Xt2rUyatQoCQ8PFxGRqKgoCQkJkfDwcO1+t6KgoMAiExkDBw6Uxx57TGxsbKRhw4by5ZdfSlpamnTv3l1cXV2le/fukp6e/sDliBgmbWJjY0XEMInp5uYmR44cqXDeElu3btUmfidMmKA9r6WX8ep0OsnLy5OEhAQRERk/frw0adJErly5IiIiv/76qwwbNkwOHz4sUVFREhwcXCi+RwXwSrhbKifSSor8/PybNvIbN27IggUL5O2335bVq1fL0KFDZfHixSIikp6eLk899ZRERETIgQMHxN7eXpYtWyYiIj4+PlocCFMDjo6OliFDhsju3bsLlbFy5Up5+eWX5f3335fg4GAZM2aMiBhiS6xevVr27dsn586du2P9HyZ69+4tP/30U4X2llizZo0MGjRIRAzBakJDQ7VzAQEBsmfPnnu6X9E2cPToUalbt66cOnVKLly4IMOGDZP58+dr55944gmtjZq7XVYgz4S7oXIiraQoapYQ40RddnY2KSkp1KtXj379+tGvXz/tmtq1azNkyBB+/PFHNm/ejJubG25ubty4cYOEhARatGgB/Gl/1uv13Lhxg7///e+ICLm5udja2rJ48WIGDx7M4MGDAfDx8SEmJoZr164RGhqKl5cXe/fuZfDgwQQEBBATE4O3tzedOnXSzBHm9TfVvbxy9uxZ4uLi6NChA6mpqdpETf369bl48WIZ1670WLJkCQMGDAAss4zX1AY+++wzXF1dCQoKYsyYMYSEhLBmzRp69erFggULsLa2pkGDBmRnZ2txg01xScQ4uVvJnakUuhbGJLTs7e2ZPHky169fBww5u0wZX62srBg6dChDhw4FIDMzE1tbW5KTk3n22WeLreSqW7cu+/fv14Kp2NraotfrSU1N1QJ229racuXKFRwdHYmJiaFp06YsXLgQOzs73N3dyc7Oxt7enhEjRvDll1/SqVMn5s+fj7u7Oy4uLri4uNxykq4sJ+hMZGZm8txzzzF37txync7mQbibZbzTp0/HxsaG4OBgwDLLvi9fvszw4cPJzMxk/vz5iAjjxo2jb9++LFy4kH/9619ER0drWRxWr16tBVSqsKvKHoBKoVuCWFtbawHSzVNsw58Ry6ysrLSsAY8//vhNI+Y3bdqU1157jSeffJJWrVrRr18/2rRpg5eXF4cPH8bf35/4+Hisra2pV68e586dw8/PDzs7Oy39+JtvvomjoyMJCQmcOHGCTp068dlnn+Ht7U2VKlWIi4tj1apVtGzZEjC8iPb29pogNteCS9ttLS8vj+eee47g4GBtxPBX9Ja40zLeb775hg0bNhAZGal97/e6jNc0xDXvYE+ePImDgwNr1qzRjtWoUYMpU6YwcuRIAgMDeeWVV1BK0bhxY5ydnct7Jt5yTeW3VkZYW1sXa7TmHhNFrw0JCWH27Nm4u7uTlZXFo48+SlBQEFOnTuWDDz5gzpw5WujIrKwsLbtxdHQ0jRo1wtHRkUuXLmlubVlZWRQUFDBkyBD++9//MmnSJBYtWgQYXv5BgwbRunVr/vnPf5KRkYFSihs3bgAGTd3a2rqYwDUJY0siIrzyyis0b96c8ePHa8dLylsiJyeH9u3b07JlS7y8vLSwgwkJCXTo0AE3NzcGDBhAbm6uRcq7W7Zs2cLMmTNZv359oQA6vXv3ZsWKFeh0OhISEjh58iTt27e/6T1MoxYrKysuXrxIfn4+APv37ycpKQkwZL0w8eSTT+Ln58eiRYtwcXHB09OTqKgozpw5UylwH4TbGXwrP+X3gyHbaFWgOzAN6Gs83hX4FvAz7r8PrDZuewOfAZ2AJ4HdZvd7EtgH1AQOA08AtY3XBxvLWw5MBv4DTABq3E09H/A5O2HISn0Q+J/x0xOoA0QCJ41/7S34vVY3blcBogBfYCUw0Hg8HPhXKf/ep4DzZt9BuNm594DTwHEg6E6/AzACOGNsJ52BGsb/7Wp2zT+BhkAVs2P1gMfKuu0/7J9K88JDhDKolkpE9GJ4C3KBX4wfE/uBy0CScb8z8Ktx2w2wxfCC9gdylVJWIqLHINziMAjbVBHZYywzBugHfA/YAw7AOuBVIA1YYryuF+AI7BWRo6bKGOtpqr+pLJRSNiKSf6dnFpHfuHU6a787/f+9YqxvpnG3ivEjGDq3Qcbj32DofBZauvzb1Mv1NuemA9Nvdk4pFQJsFpHDSqlHgdlAKobOORhDO7gGhACLlVKfAkEYBPEmEckz3sdaRC5Z7okqLpVjhIcIMVDIBqGUslJKWZtdkyUiB0UkzbgfCMwxns4AzopIMgbtLQf4h1KqG9AF+C/gA8SaFeGJQctyxyDIl4jIRuBnoLexDoMxCOvHgblKqZeNx5sqpboaX3aK1H24UsrRvO7lBaWUtVLqf8BFDM95Grhq1kkkYtACyy1KKdO7HQXEG7dtgECgqoicA77DIID7AxuAV4zXbRKRruZCVkQKSqXiFYBKofuQY9R6b/tCiIjO+HebiIQaD7cAFgHPAp9iMCPswDB0raGUqqWUcsJgdvgBaIVB6Jo06KeAXUopV+BfQHMMZofVgCnXyz8xDMs/UUodU0oFAyil/gEMAK4Xrbsy0EUpNUwpdfMcMyWMiBSISCugEdAew7MVu6x0a3X3GLVSUwe3H5iqlFpgFKKjgV5Kqboi8gfwG4YRzCgR2S4i/xaRhab7lMkD/MWpFLoVCNNLZBSmDUVkjYiMEJE2IrLZOLTehKFd7ACWYbAd7gU6YLApmtaftsZgS30CiAF+B+ZieKn/ppSqC/wdiBCRVzAMxTsopWoAz2PQqKOUUq8WqWZ1DPbaccDPSqkyc0sQkavAdgyjgtpKKZM5rhF/dj7lDlNHppR6DYPZ4b8YRjQdRGQ1sBXDb4WI7MAwsjlwq/tUYlkqbboVCLOX6AKGYWYx26pRQxphPNdIRBKVUrZANpAkIqbpbVfgCFALGCAiY033UEr9DYPgbgCYNOtLgJuIXFdKJQMfAZsxmDhQSimj0M8RkTVKqWoYhN2f0+mlgFKqHpAnIleNdfAHZmKwiz8PrMCgwa8rzXrdCaXUKCABOGD8zZZj+M4/FZE/lFILgU+VUp2BqcBPSqnXRSQc+Lqo2aqSkqNS6FZARCQXiDZuF5rMKjJZl2gUhjpggvEcSqnHgK9EJE8pdRC4opSaCuwBzmHQiOsCdsAh460fBa4bt1sAi0XEdM58ws1UH1/gD+CGBR/9bqgPfGMcFVgBK0Vkg1IqHlihlJqGYcKxuEN1GaCU6gL8H4bJMAEuKaXmYZh87GAUuEpEPlVKBQIfishkpdQUDL9PUVt7JSXM/wOz9nYXzNqGFgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 结果可视化\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "%matplotlib inline\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111, projection=\"3d\")\n",
    "for i in range(100):\n",
    "  ax.scatter(pca_images[i, 0], pca_images[i, 1], pca_images[i, 2], marker=r\"${}$\".format(labels[i]), s=64)\n",
    "ax.set_xlabel(\"Principal component 1\")\n",
    "ax.set_ylabel(\"Principal component 2\")\n",
    "ax.set_zlabel(\"Principal component 3\")\n",
    "#plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "colab": {
   "name": "pca_test.ipynb",
   "provenance": [],
   "collapsed_sections": [],
   "include_colab_link": true
  },
  "kernelspec": {
   "name": "python3",
   "display_name": "Python 3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
